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Find the general solution of the following differential equations using the method of undeter-mined coefficientsy′′ − 2y′ + y = ex + x2

Question

Find the general solution of the following differential equations using the method of undeter-mined coefficientsy′′ − 2y′ + y = ex + x2
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Solution 1

The given differential equation is a non-homogeneous second order linear differential equation. The general solution of such an equation is the sum of the general solution of the corresponding homogeneous equation and a particular solution of the non-homogeneous equation.

Step 1: Solve the homogene Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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