# Math Help - differential equations

1. ## differential equations

Use Laplace Transforms

Y”(t) + 4y(t) = f(t) with y(0) = 1, y’(0) = 1, where
f(t) = { 4t, 0 < t < 1
{ 4, t > 1

2. ## Re: differential equations

can you explain what you've tried so far please,

anyway here's the first thing you can do,

write f(t) as a function of unit step

$f(t)=4t[u(t)-u(t-1)]+4u(t-1)$