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(b) x²d²y dr2 dy + 16y = 0 + 9.x- dr

(b) x²d²y dr2 dy + 16y = 0 + 9.x- dr

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 differential equations „3 d³y 2 d²y dy (a) z*. + 5.x- 2.x. 2y = 0 dx dr? dy + 9r- dr3 d²y (b) z25 dr? + 16y = 0 dr (c) (3r + 2)²- + 3(3r + 2)- dr? dy 36y = 3x? + 4x +1 dx dy (d) dy + 2y = exp(x) tan(x) 2. dx2 dy (e) dx dy -2z 4- dx + 4y = x +2+ e=2= dr? d²y (f) dy 2y = 14 + 2x – 2.x². y(0) = 0, dr dy(0) = 0 dz dr? +
Transcribed Image Text:Solve the following differential equations „3 d³y 2 d²y dy (a) z*. + 5.x- 2.x. 2y = 0 dx dr? dy + 9r- dr3 d²y (b) z25 dr? + 16y = 0 dr (c) (3r + 2)²- + 3(3r + 2)- dr? dy 36y = 3x? + 4x +1 dx dy (d) dy + 2y = exp(x) tan(x) 2. dx2 dy (e) dx dy -2z 4- dx + 4y = x +2+ e=2= dr? d²y (f) dy 2y = 14 + 2x – 2.x². y(0) = 0, dr dy(0) = 0 dz dr? +
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