Laplace Transform. Solve the following differential equation completely. y" + y = 1+ 2t³ et 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

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1. Laplace Transform. Solve the following differential equation completely.
y" + y = 1+ 2t³ et
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.
Transcribed Image Text:1. Laplace Transform. Solve the following differential equation completely. y" + y = 1+ 2t³ et 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.
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