Thread: Differential by laplace

SOLVE X'-Y=e^t ,Y'+X=sint where X(0)=1 Y(0)=0


HERE DO I HAVE TO ELIMINATE X AND APPLY LAPLACE FOR Y PLEASE HELP

Originally Posted by prasum

SOLVE X'-Y=e^t ,Y'+X=sint where X(0)=1 Y(0)=0


HERE DO I HAVE TO ELIMINATE X AND APPLY LAPLACE FOR Y PLEASE HELP

Apply the Laplace transform first. This will turn the system of ODE's into a system of algebraic equations.



Now just eliminate either x or y and solve.

Thanks