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7.10.4 Question Help Use the method of Laplace transforms to solve the given initial value problem. Here, x and y denote diHELP! My y(t) is INCORRECT

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DIFFERENTIAL EQUATIONS / Linear Algebra

Only people that are proficient in DIFFERENTIAL EQUATIONS should even attempt to solve. No beginners or amateurs allowed.

Please write clearly and legibly. No sloppy Handwriting. I must be able to clearly and easily read your solution and answer.

Circle final answer.

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Answer #1

Given that ! x - 6x +2y = sint 112 20 x - y_44 = cost (2) Taking Laplace on (1) we have : L(al-ban + 2y ) L (sint) OV sx(S)17 (7) Soo SS +(7) LIS 17 18 TS {(76) 505 591 +(76)4457E} so, y(t) = { (@itstz) (14) 91-sta $ 1-7 y Ct)

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