Solve the equation using the method of variation of parameters. a)d² ydx²7dydx+10y=20x, y(0) = 3, y'(0) = 6

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Answered: a) d²y dx² dy 7. +10y=20x, y(0) = 3,…

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a) d²y dx² dy 7. +10y=20x, y(0) = 3, y'(0) = 6 dx

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 21CR

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Question

Solve the equation using the method of variation of parameters.

a)
d² y
dx²
7
dy
dx
+10y=20x, y(0) = 3, y'(0) = 6

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Step 1: Variation of parameters

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Step 2: Complementary function and Wronskian

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