SKEDSOFT

Problems on Solution of Linear Differential equations-2:

5. Solve using laplace transforms y'' 2y' 5y = 8sint 4cost

given that y (0) = 1 and y (π) = e^-π

Solurtions: Given that y'' 2y' 5y = 8sint 4cost

Taking the laplace transform on both the side, we get

This shows that for any value of A the given condition y (π) = e^-π Hence this gives the solutions of the equations the initial conditions.