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Solve the following initial value problem using the undetermined coefficients method: d²y dy 5- x- 2; with y(0) = 0, dx y(1) (0) = 2 dt2 Choose the correct answer among those proposed: A. y = 41 5x 41 125 125 10 B. y =(e -8x - e**)

Solve the following initial value problem using the undetermined coefficients method: d²y dy 5- x- 2; with y(0) = 0, dx y(1) (0) = 2 dt2 Choose the correct answer among those proposed: A. y = 41 5x 41 125 125 10 B. y =(e -8x - e**)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the following initial value problem using the undetermined coefficients method: d²y dy 5 = x- 2; with y(0) = 0, y(1) (0) = 2 dt2 dx Choose the correct answer among those proposed: 41 e5x 125 41 9 А. у !! 125 10 5 B. y=(e 8* – e*) - -8x -41 C. y = (1- es*)- ²+* 125 25 D. y = (2cos(2x) - stn(2x))e2* + 3 3 3 +x3 -x² + 64 16
Transcribed Image Text:Solve the following initial value problem using the undetermined coefficients method: d²y dy 5 = x- 2; with y(0) = 0, y(1) (0) = 2 dt2 dx Choose the correct answer among those proposed: 41 e5x 125 41 9 А. у !! 125 10 5 B. y=(e 8* – e*) - -8x -41 C. y = (1- es*)- ²+* 125 25 D. y = (2cos(2x) - stn(2x))e2* + 3 3 3 +x3 -x² + 64 16
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