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1) a) Find the general solution of: y" - 2y + 10y = 0 b) Find one particular solution of y" - 2y' +10y = 10t+18et

1) a) Find the general solution of: y" - 2y + 10y = 0 b) Find one particular solution of y" - 2y' +10y = 10t+18et

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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1) a) Find the general solution of: y" – 2y' + 10y = 0 b) Find one particular solution of y" – 2y' + 10y = 10t + 18et 2) Solve the differential equation: y" – 4y = 8e2t with the initial values: y(0) = y (0) = 2 3) Given the differential equation: ťy" – 4ty' + 6y = 0 and given that Y1 (t) = t³ is a solution, use the method of Reduction of Order to find a second (independent) solution y2(t).
Transcribed Image Text:1) a) Find the general solution of: y" – 2y' + 10y = 0 b) Find one particular solution of y" – 2y' + 10y = 10t + 18et 2) Solve the differential equation: y" – 4y = 8e2t with the initial values: y(0) = y (0) = 2 3) Given the differential equation: ťy" – 4ty' + 6y = 0 and given that Y1 (t) = t³ is a solution, use the method of Reduction of Order to find a second (independent) solution y2(t).
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