Solve the following initial value problem using Laplace transform: (a) [frac{d y}{d t}=-y+e^{-3 t}, quad y(0)=2] (b)

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Solve the following initial value problem using Laplace transform:

(a)

\[\frac{d y}{d t}=-y+e^{-3 t}, \quad y(0)=2\]

(b)

\[\frac{d y}{d t}+11 y=3, \quad y(0)=-2\]

(c)

\[\frac{d y}{d t}+2 y=2 e^{7 t}, \quad y(0)=0\]

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Quantitative Finance

ISBN: 9781118629956

1st Edition

Authors: Maria Cristina Mariani, Ionut Florescu

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Question Posted: Apr 20, 2024 05:57 AM

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Solve the following initial value problem using Laplace transform: (a) [frac{d y}{d t}=-y+e^{-3 t}, quad y(0)=2] (b)

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a Taking the Laplace transform of both sides gives sYs y0 Ys 1ss3 2 Ys Ys 1ss3 Ys 2s1 Taking t...View the full answer

Quantitative Finance

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