Question

Find the particular integral of the differential equation d2y/dx2 + 3dy/dx + 2y = e −2x...

Find the particular integral of the differential equation

d2y/dx2 + 3dy/dx + 2y = e −2x (x + 1). show that the answer is yp(x) = −e −2x ( 1/2 x2 + 2x + 2)

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Homework Answers

Answer #1

-2e^-2x appears in complementary solution since roots of

Characteristic equation are -1,-2

-2e^-2x appears in complementary solution for c=-2

So it is not appears again in yp

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