# Solve the differential equation and initial value problem

My Professor is asking us to solve the following differential equation and initial value problem but does not provide any further instructions. Could someone please help me get started?

1.) $D^3(D+5)(D+3)^2(D^2+16)y = 0$

and

2.)$2x e^y \mathrm{d}x+(x^2e^y+y \cos y)\mathrm{d}y = 0$

• Multiplication, i'll make the change – user100707 Dec 11 '13 at 16:07
• Hint for $2.$, it is an Exact Equation. The first one could not me more straightforward. – Amzoti Dec 11 '13 at 16:08
• Is solving a differential equation the same as providing a general solution for it? – user100707 Dec 11 '13 at 16:09