Question

Find the general solution of the following differential equation using the method of undetermined coefficients: d ² y/ dx²​+3 dy/dx +2y=4x ²

Answer 1

To find the general solution of the given differential equation using the method of undetermined coefficients, follow these steps.

Step-by-step explanation:

To find the general solution of the given differential equation using the method of undetermined coefficients, follow these steps:

1. First, find the complementary function by solving the associated homogeneous equation (without the right-hand side).
2. Next, find a particular solution by assuming a form for y that satisfies the given equation. Substitute this assumed form into the differential equation and solve for the coefficients.
3. Add the complementary function and the particular solution to get the general solution.

By following these steps, you can find the general solution to the given differential equation using the method of undetermined coefficients.