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;