Problems On Solution Of Simultaneous Differential Equation

Problems on Solution of Simultanoeous Differential Equation-2:

11. Solve the following system of equations using laplave transforms.

given that x = 1, y = 0 at t = 0.

Solutions: We have

Taking laplace transform on both the equations;

Using the given initial value we get;

Let us multiply 5 by equation 3 and additing equation 4 we get;

Further we have;