Let y = e2x and y2 = e* be solutions for a homogeneous DE. Then, is also a solution to the DE. Select one: O y = 4e-3x + 7e2x O None of these. O y = 4e-3x + 7e-2x O y = 4e³x + 7e2* O y = 4e3x + 7e-2...

Extracted text: Let y = e2x and y2 = e* be solutions for a homogeneous DE. Then, is also a solution to the DE. Select one: O y = 4e-3x + 7e2x O None of these. O y = 4e-3x + 7e-2x O y = 4e³x + 7e2* O y = 4e3x + 7e-2 e-3x are both The functions y = e³x and y2 solutions for the homogeneous DE: %3D = y" – 9y = 0. Then, the general solution of nonhomogeneous DE y" – 9y = -18x – 36 is Select one: O y = cje³x + cze¬3x – 2x – 4 O y = cje3* + c2e-3x – 2x + 4 O None of these. O y = cje* + cze¬3* + 2x + 4 O y = cjex + cze=3* + 2x – 4