Question

please help me to solve this two simultaneous differential equations
a. x'' + y'' +3x = 15e^-t
y'' - 4x' +3y = 15 sin 2t wherein x(0)=35,
x'(0) =-48, y(0) = 27

b. 20y' +5x' +15y = 0
x' +4x +2y' = 2 wherein x(0)=y(0)= 0

Answer 1

if i remember right...you start by taking the laplace of both equations first right?

Answer 2

yes sir, it uses laplace but i'm having difficulty in factoring in the middle of its solution