Solve the Differential Equation by Variation of Parameters

Second Order Linear Nonhomogeneous Differential Equations. Each such nonhomogeneous equation has a corresponding homogeneous equation.

Variation Of Parameters Example 1 Differential Equations Differential Equations Equations Parameter

There are many methods to solve differential equations such as separation of variables variation.

. This is a differential equation. An ordinary differential equation ODE is an equation containing an unknown function of one real or complex variable x its derivatives and some given functions of xThe unknown function is generally represented by a variable often denoted y which therefore depends on xThus x is often called the independent variable of the equation. Y pt y qt y.

The term ordinary is used in contrast. If you go back to any of our solutions of ordinary differential equations that weve done in previous sections you can see that the number of conditions required always matched the highest order of the derivative. Method of Undetermined Coefficients We will now turn our attention to nonhomogeneous second order linear equations equations with the standard form y pt y qt y gt gt 0.

Now that weve got the 1-D heat equation taken care of we need to move into the initial and boundary conditions well also need in order to solve the problem.

Solve Using Variation Of Parameters Y 3y 2y 1 7 E X Math Videos Solving Parameter