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1. Find the general solution: 2. Find the general solution: dx dt du -(y - 3). + 2² +2²² = 0, 3. Solve using the Laplace transform: y" + y = (1+t)02 (t), 4. Use the power series to find y(4) (0): xy" (x) + y(x) = 0, -X dt = y (0) = 1, y'(0) = 0. 5. Find a general solution and plot the phase portrait for the following system: d y (0) = 1, t> 0. 0 da = y -3 y' (0) = 0. X. 6. Find the stationary points and draw the phase portrait in (x, y) plane near each these points. = x(3-x) - 2y

1. Find the general solution: 2. Find the general solution: dx dt du -(y - 3). + 2² +2²² = 0, 3. Solve using the Laplace transform: y" + y = (1+t)02 (t), 4. Use the power series to find y(4) (0): xy" (x) + y(x) = 0, -X dt = y (0) = 1, y'(0) = 0. 5. Find a general solution and plot the phase portrait for the following system: d y (0) = 1, t> 0. 0 da = y -3 y' (0) = 0. X. 6. Find the stationary points and draw the phase portrait in (x, y) plane near each these points. = x(3-x) - 2y

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. Find the general solution: 2. Find the general solution: dy du -(y-3). dz +2²7 +2²²² = 0, 3. Solve using the Laplace transform: y"+y' = (1+t)02 (t), 4. Use the power series to find y(4) (0): xy" (x) + y(x) = 0, dt X = y (0) = 1, y'(0) = 0. t> 0. y (0) = 1, 5. Find a general solution and plot the phase portrait for the following system: d 3] 0 -3 y' (0) = 0. X. 6. Find the stationary points and draw the phase portrait in (x, y) plane near each these points. da = y d = x(3 − x) – 2y
Transcribed Image Text:1. Find the general solution: 2. Find the general solution: dy du -(y-3). dz +2²7 +2²²² = 0, 3. Solve using the Laplace transform: y"+y' = (1+t)02 (t), 4. Use the power series to find y(4) (0): xy" (x) + y(x) = 0, dt X = y (0) = 1, y'(0) = 0. t> 0. y (0) = 1, 5. Find a general solution and plot the phase portrait for the following system: d 3] 0 -3 y' (0) = 0. X. 6. Find the stationary points and draw the phase portrait in (x, y) plane near each these points. da = y d = x(3 − x) – 2y
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