Separable Differential Equations: MATH 172 Problems 6 & 7Solving separable differential equations involving Newton's Law of Cooling and orthogonal trajectories

Linear Differential Equations: MATH 172 Problems 1 & 2Solving first order linear differential equations

MATH 308 WIR22A V2Writing and then solving a differential equation for the temperature of a cup of coffee

MATH 308 WIR22A V8Writing and then solving an initial value problem to determine the stopping time and distance of a stone on a smooth surface

MATH 308 WIR22A V11Solving a first order linear differential equation with an integrating factor and then finding the initial condition so the solution touches the x-axis

MATH 308 WIR22A V10Solving initial value problems by separating the variables and using an integrating factor

MATH 308 WIR22A V10Solving initial value problems by separating the variables and using an integrating factor

MATH 308 WIR22A V12Solving an initial value problem to find the amount of salt in a tank with salt water flowing in and out

MATH 308 WIR22A V13Solving an initial value problem using Newton’s Law of Cooling to determine the time it takes for a cake to cool to a given temperature

MATH 308 WIR22A V14Solving a separable differential equation to determine how long it takes a population of bacteria to double

MATH 308 WIR22A V15Solving an initial value problem including air resistance for the path of a thrown ball to determine the maximum height it reaches

MATH 308 WIR22A V16Solving an initial value problem using Newton’s Law of Cooling to determine the temperature of a drink left outside as the outdoor temperature changes

MATH 308 WIR22A V17Solving an initial value problem to determine the amount of pollution in a lake at any time

MATH 308 WIR22A V19Determining an interval in which the solution of a first order, linear initial value problem is certain to exist

MATH 308 WIR22A V20Solving linear differential equations and determining the interval in which the solution exists

MATH 308 WIR22A V18Determining an interval in which the solution of a first order, linear initial value problem is certain to exist

MATH 308 WIR22A V22Finding the equilibrium solutions and properties for an autonomous differential equation

MATH 308 WIR22A V23Finding the equilibrium solutions and properties for an autonomous differential equation

MATH 308 WIR22A V28Finding an integrating factor to make a differential equation exact and then solving it

MATH 308 WIR22A V29Finding an integrating factor to make a differential equation exact and then solving it

MATH 308 WIR22A V30Finding an integrating factor to make a differential equation exact and then solving it

MATH 308 WIR22A V33Solving a second order linear initial value problem and then solving for the initial condition so the solution will have a given properties

MATH 308 WIR22A V34Solving a second order linear initial value problem with complex roots to the characteristic equation

MATH 308 WIR22A V36Using the reduction of order technique to find the solution to an initial value problem

MATH 308 WIR22A V59Using the Laplace transform to solve an initial value problem with an impulse function

MATH 308 WIR22A V65Using the Laplace transform and the impulse function to write and solve an initial value problem for the motion of a spring

MATH 308 WIR22A V64Solving an initial value problem using the Laplace transform and writing the answer using a convolution integral

MATH 308 WIR22A V74Finding the value of the second and third derivative of a solution at the given point

MATH 308 WIR22A V38Determining where a first-order linear initial value problem has a solution and then solving it

MATH 308 WIR22A V39Solving a first-order linear initial value problem to determine the concentration of salt in a tank

MATH 308 WIR22A V23Finding the equilibrium solutions and properties for an autonomous differential equation

MATH 308 WIR22A V29Finding an integrating factor to make a differential equation exact and then solving it

MATH 308 WIR22A V74Finding the value of the second and third derivative of a solution at the given point

MATH 308 WIR22A V84Using Laplace transforms to solve initial value problems with step and impulse functions

MATH 308 WIR22A V64Solving an initial value problem using the Laplace transform and writing the answer using a convolution integral

Calculus Exam Review (Absolute Extrema and Integration): MATH 142Examples finding absolute maximums, antiderivatives, and definite integrals

Calculus Exam Review (Application Problems with Integrals): MATH 142Using integrals to solve application problems

Initial Value Problems: MATH 142Integrating to find a function from its derivative and an initial condition

MATH 308 WIR22A V40Finding the equilibrium solutions and properties for an autonomous differential equation

Linear Algebra for Math 308: L7V6Solving a system of first-order linear differential equations using a matrix exponential function

Linear Algebra for Math 308: L7E2Solving a system of first-order linear differential equations using a matrix exponential function

Linear Algebra for Math 308: L7E4Solving a system of first-order linear differential equations using a matrix exponential function

Linear Algebra for Math 308: L5V6Solving a system of first-order linear differential equations using a matrix exponential function

Linear Algebra for Math 308: L7E8Solving a system of first-order linear differential equations using a matrix exponential function

Linear Algebra for Math 308: L8V3Finding the general solution to a system of first order differential equations

Linear Algebra for Math 308: L8E2Solving a system of first-order linear differential equations where the matrix has complex eigenvalues

Linear Algebra for Math 308: L8E5Solving a system of first-order linear differential equations when a generalized eigenvector is needed

Power Series as Functions: MATH 172 Problems 4 & 5Examples about the derivative and integral of a power series

MATH 308 WIR22A V4Classifying differential equations as ordinary or partial and linear or nonlinear and finding the order

MATH 308 WIR22A V9Solving differential equations by separating the variables and using integrating factors

MATH 308 WIR22A V9Solving differential equations by separating the variables and using integrating factors

MATH 308 WIR22A V25Show that a differential equation is not exact but becomes exact when multiplied by a given integrating factor

MATH 308 WIR22A V26Finding an integrating factor to make a differential equation exact and then solving it

MATH 308 WIR22A V31Determining if two functions form a fundamental set of solutions for a second order linear differential equation

MATH 308 WIR22A V35Solving a second order linear initial value problem with a repeated root to the characteristic equation

MATH 308 WIR22A V42Using the method of undetermined coefficients to solve second-order linear differential equation

MATH 308 WIR22A V43Using the method of undetermined coefficients to find the form of a particular solution for a second order linear differential equation

MATH 308 WIR22A V44Using the variation of parameters method to solve a nonhomogeneous second-order linear differential equation

MATH 308 WIR22A V45Solving an initial value problem to find the position of a mass on a vibrating spring

MATH 308 WIR22A V46Solving an initial value problem to find the position of a mass on a vibrating spring with damping

MATH 308 WIR22A V48Solving an initial value problem to find the position of a mass on a vibrating spring with an external force

MATH 308 WIR22A V49Solving an initial value problem to find the position of a mass on a vibrating spring under resonance with an external force

MATH 308 WIR22A V47Solving an initial value problem to find the position of a mass on a vibrating spring with an external force

MATH 308 WIR22A V75Transforming an initial value problem into three first-order equations written in matrix form

MATH 308 WIR22A V66Finding the form of a particular solution for a second-order linear differential equation

MATH 308 WIR22A V67Finding the general solutions of a second-order linear nonhomogeneous differential equation

MATH 308 WIR22A V41Using an integrating factor to make a differential equation exact and then solving it

MATH 308 WIR22A V9Solving differential equations by separating the variables and using integrating factors

MATH 308 WIR22A V82Using the method of undetermined coefficients to solve second-order linear differential equation

MATH 308 WIR22A V83Using reduction of order and variation of parameters to solve a second-order linear nonhomogeneous differential equation

Linear Algebra for Math 308: L7V2Showing how the exponential function is the solution to an initial value problem

Linear Algebra for Math 308: L7V3Using power series to define a matrix exponential function to use in solving differential equations with matrices

Linear Algebra for Math 308: L7V4Calculating a matrix exponential function using a power series and the diagonalization of the matrix

Linear Algebra for Math 308: L7V7Solving a system of first-order linear differential equations using a matrix exponential function

Linear Algebra for Math 308: L8E3Solving a system of first-order linear differential equations where a generalized eigenvector is needed

Linear Algebra for Math 308: L8V4Solving a system of first-order linear differential equations where the matrix has complex eigenvalues

Linear Algebra for Math 308: L8V5Deriving the general solution for a system of first-order linear differential equations where the matrix has complex eigenvalues

Linear Algebra for Math 308: L8V6Solving a system of first-order linear differential equations where the matrix has complex eigenvalues

Linear Algebra for Math 308: L8V1Solving for the general solution for a system of first-order linear differential equations

Linear Algebra for Math 308: L8V1.5Deriving the form of the general solution of a system of first-order linear differential equations

Linear Algebra for Math 308: L8V2Deriving the general solution for a system of first-order linear differential equations