Consider the nonhomogeneous differential
equationy"-2y'-3y=2(e^(
find a paricular solution to the non homogeneous equation.
also write the general solutiong to the
nonhomogeneousequation.

Step-by-step explanation:

For homogeneous solution:

So since roots are r = 3 and r = -1,

Since we are given , we will use undetermined coefficients. However, here the trick is we have in homogeneous solution. So in particular solution, as undetermined coefficients, we will use instead of .

Hence,

So,

Hence,

General solution is:

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step-by-step explanation: