Laplace Transforms Solve the following differential equation completely without using calculator. y" +4y = 8(cosh 2t)(sinh2t) +4t2e2t + 1; y (0) = y'(0) = 0 Incorporate the following theorems and techniques at least once in your solution: Linearity of Laplace transforms • First shifting theorem • Laplace transforms of derivatives. Derivatives of Laplace transforms Convolution theorem ● Indicate/label the used techniques/theorems in your solution. Hint: Hyperbolic functions can be defined by expressions with exponential functions.

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A: Follow the procedure given below.

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