Question

Question 1:
$\frac{d {}^{2}y }{dx {}^{2} } - 2\frac{dy}{dx} + y \: = x {}^{2} + 4 {e}^{3x}$
Question 2:
$\frac{d {}^{2}y }{dx {}^{2} } - 3 \frac{dy}{dx} + 2y = sin 2x$
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Answer 1

Step-by-step explanation:

1. d³y/dx³ -3d²y/dx² + dy/dx = 2x + 12e^3x
2. d³y/dx³ - 3d²y/dx² + 2dy/dx = 2cos2x