Can you please walk me through the problem:

Consider the system of differential equations

(dx/dt)=5y and (dy/dt)=5x

Convert this system to a second order differential equation inyby differentiating the second equation with respect tottand substituting forxfrom the first equation.

Solve the equation you obtained foryas a function oft; hence findxas a function oft. If we also requirex(0)=4andy(0)=1, what arexandy?

x(t)=?

y(t)=?

And please include the steps