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d*y d'y 11 (b) dt4 dt3 = cos t F(0) = F'(0) = F" (0) = 0 F"(0) = 1. d?q (c) dt2 dq 3Dt² +2t dt 12 F(0) = 4 F'(0) = -2 dx 13 (d) + 2x = 2 dt F(0) = 0 dy(t) 14 (e) dt = F(0) = 1 dt

d*y d'y 11 (b) dt4 dt3 = cos t F(0) = F'(0) = F" (0) = 0 F"(0) = 1. d?q (c) dt2 dq 3Dt² +2t dt 12 F(0) = 4 F'(0) = -2 dx 13 (d) + 2x = 2 dt F(0) = 0 dy(t) 14 (e) dt = F(0) = 1 dt

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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8 3. Find the solution of the following differential equation by Laplace transform with 6. initial conditions for each equation: d*y d³y (b) 11 dt4 dt3 = cos t F(0) = F'(0) = F"'(0) = 0 F"(0) = 1. d? q (c) dq = t2 + 2t 12 dt2 dt F(0) = 4 F'(0) = -2 dx 13 (d) + 2x = 2 dt F(0) = 0 dy(t) 14 (e) dt = F(0) = 1 dt 15
Transcribed Image Text:8 3. Find the solution of the following differential equation by Laplace transform with 6. initial conditions for each equation: d*y d³y (b) 11 dt4 dt3 = cos t F(0) = F'(0) = F"'(0) = 0 F"(0) = 1. d? q (c) dq = t2 + 2t 12 dt2 dt F(0) = 4 F'(0) = -2 dx 13 (d) + 2x = 2 dt F(0) = 0 dy(t) 14 (e) dt = F(0) = 1 dt 15
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