Solve the Ordinary Differential Equation y’’ + 2y’ + 5y = e-t sin(t) when y(0) = 0 and y’(0) = 1.(Without solving for the constants we get in the partial fractions).

The Laplace transform is a mathematical technique that converts a function of time into a function in the frequency domain. It is an integral transform that converts a function of a real variable to a function of a complex variable.