Question

solve the initial value problem by the Laplace transform method: y''+2y'-3y=0 ; y(0)=1, y'(0)=1 solve the initial value problem by the Laplace transform method: y''+2y'-3y=0 ; y(0)=1, y'(0)=1 @Mathematics

Answer 1

What's the Laplace transformation of the left-hand side?

And if you don't know, watch this:
http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/video-lectures/lecture-20-derivative-formulas/

Answer 2

thx james...i'm watching it now

Answer 3

And if you're lost on this whole Laplace transform approach, begin one lecture earlier, here:
http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/video-lectures/lecture-19-introduction-to-the-laplace-transform/