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Page 2 T Use the Laplace Transform method to solve the IVP 1-8y + 16y-te (0)...

Question:

Page 2 T Use the Laplace Transform method to solve the IVP 1-8y + 16y-te (0) = 1,0) = 4 Show all your work. Note: A partial f
Page 2 T Use the Laplace Transform method to solve the IVP 1-8y + 16y-te (0) = 1,0) = 4 Show all your work. Note: A partial fraction decomposition will not be needed here if you carefully solve for Y(s) = {v}(s), by first moving the expression of the form -as -b with a and b positive integers to the right hand side and then dividing both sides of the equation by the coefficient of Y(8) which will be of the form s2 - 2ms + m2 (s - m). At this time, check your work by verifying that Y(s) is of the form + (8 - m) (s - m) and proceed to find the solution to the IVP by computing the inverse Laplace transform of Y(s). a

Answers

4 - 84+1 by = forest given in the question I UP gro) = 1 460) = 4 y-8y+y = txt taking Laplen transform bath sides LCY) – 8رو (۱۵+88 ) (-) + 2 (٪ 9 را - (- ) 42 (9) (9) (1) +2 در-s 3(ہم) 2 79) + کرہی رہا۔ (س) + Toting inverse Laplace beth sides 199

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