8.Solve the initial value problem using Laplace transform technique (10%)
$\frac{d^2y}{dt^2} - 3\frac{dy}{dt} + 2y = 4t + e^{3t}, \quad y(0) = 1, \quad \frac{dy(0)}{dt} = -1$
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8.Solve the initial value problem using Laplace transform technique (10%)
$\frac{d^2y}{dt^2} - 3\frac{dy}{dt} + 2y = 4t + e^{3t}, \quad y(0) = 1, \quad \frac{dy(0)}{dt} = -1$