## Problems on Solution of Simultaneous Differential Equation

**Problems on Solution of Simultanoeous Differential Equation:**

**9.** Solve the simultanous equation using laplace transform subject to x (0) = 8 and y(0) = 3.

**Solutions:** We have

Taking laplace transform on both the sides of these, we get

Using initial value;

Solving equation 1 and 2 and multiplying ( s -1 ) in the equations 1 and multiply 3 by equation 2 we get;