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Use Laplace transform to solve the following differential equations: d²y dy 24- + 16y= 0, given y(0) = 3 and y'(0) = 3 dt dt² 1. 9

Use Laplace transform to solve the following differential equations: d²y dy 24- + 16y= 0, given y(0) = 3 and y'(0) = 3 dt dt² 1. 9

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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Use laplace transform to solve the following differential equations
r solution clearly and in logical order. Enclose c. Use Laplace transform to solve the following differential equations: d²y dy 24 +16y = 0, given y(0) = 3 and y'(0) = 3 dt² dt 1. 2. 3. 5. 9 d²i dt² d²y dx² d²y dx² di +1000- + 250000i = 0, given i(0) = 0 and y'(0) = 100 dt d²y dt² 3 - 2 dy dt dy dt + y = etx given y(0) = M # 2 3 4y = 3 sin x given y(0) = 0 and y'(0) = 0 C and y'(0) = 4; 47-33 dy + 2y = 3e* cos 2x given y(0) 2 and y'(0) = 5 dt D. Solve the following pairs of simultaneous differential equations:
Transcribed Image Text:r solution clearly and in logical order. Enclose c. Use Laplace transform to solve the following differential equations: d²y dy 24 +16y = 0, given y(0) = 3 and y'(0) = 3 dt² dt 1. 2. 3. 5. 9 d²i dt² d²y dx² d²y dx² di +1000- + 250000i = 0, given i(0) = 0 and y'(0) = 100 dt d²y dt² 3 - 2 dy dt dy dt + y = etx given y(0) = M # 2 3 4y = 3 sin x given y(0) = 0 and y'(0) = 0 C and y'(0) = 4; 47-33 dy + 2y = 3e* cos 2x given y(0) 2 and y'(0) = 5 dt D. Solve the following pairs of simultaneous differential equations:
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