Posts tagged ODEs

How to solve linear differential equations initial value problems

We already know how to find the general solution to a linear differential equation. But this solution includes the ambiguous constant of integration C. If we want to find a specific value for C, and therefore a specific solution to the linear differential equation, then we’ll need an initial condition, like f(0)=a. Given this additional piece of information, we’ll be able to find a value for C and solve for the specific solution.

Learn mathKrista KingDecember 29, 2020math, learn online, online course, online math, differential equations, linear differential equations, ODEs, linear ODEs, initial value problems, linear differential equations initial value problems, particular solution, particular solution of a linear differential equation, linear differential equation particular solution

Using variation of parameters with a system of equations to find the particular solution

Like the method of undetermined coefficients, variation of parameters is a method you can use to find the general solution to a second-order (or higher-order) nonhomogeneous differential equation. Remember that homogenous differential equations have a 0 on the right side, where nonhomogeneous differential equations have a non-zero function on the right side.

Online Math Courses

Courses