Question

Name one of the simpliest techniques which can be used to solve some non homogeneous higher order linear differential equations with constant coefficients. 2. In your words, explain the method of undetermined coefficients.

Answer 1

**Method of Undetermined Coefficients:**

1. **Guess a Solution:** Guess a solution based on the form of the non-homogeneous term.

2. **Plug and Solve:** Plug your guess into the differential equation and solve for the unknown coefficients in your guess.

3. **Combine Solutions:** Combine the solution you guessed with the solution to the homogeneous part of the equation to get the final answer.

It's a way to find a specific solution for certain types of differential equations by guessing the right form for the solution.