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3. Solve the differential equation subject to the given conditions. d² y dx² a) b) d² y dx² +36y= 0, y(0) = 2, y'(0) = 5 12% dx +36y= 0, y(0) = 1, y'(0) = 2

3. Solve the differential equation subject to the given conditions. d² y dx² a) b) d² y dx² +36y= 0, y(0) = 2, y'(0) = 5 12% dx +36y= 0, y(0) = 1, y'(0) = 2

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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Question
3. Solve the differential equation subject to the given conditions. d² y dx² a) b) c) d) d² y dx² +36y= 0, y(0) = 2, y'(0) = 5 dy 12- +36y = 0, y(0) = 1, y'(0) = 2 dx d²y_dy dx² dx d² y dx² d'y dy + dx² dx -12y = 0, y(0) = 1, y(2)=0 - y = 0, y(0) = 4, y'(0) = 2 + 4y = 0, y(π/4)= 1, y'(π/4) = 3
Transcribed Image Text:3. Solve the differential equation subject to the given conditions. d² y dx² a) b) c) d) d² y dx² +36y= 0, y(0) = 2, y'(0) = 5 dy 12- +36y = 0, y(0) = 1, y'(0) = 2 dx d²y_dy dx² dx d² y dx² d'y dy + dx² dx -12y = 0, y(0) = 1, y(2)=0 - y = 0, y(0) = 4, y'(0) = 2 + 4y = 0, y(π/4)= 1, y'(π/4) = 3
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