a) Using Laplace transform techniques, solve the differential equatio…

Previous year question for Numerical Methods & Transform Calculus.

Question

a) Using Laplace transform techniques, solve the differential equation: $y'' + y = t \cos 2t$, with $y(0) = y'(0) = 0$.

b) Find the inverse L.T. of $\frac{S+1}{S^2 + S + 1}$.

c) Find the L.T. of $2 \cosh^3(2t)$.

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