Example 10.27. Find an approximate series solution of the simultaneous equationsdx/dt = xy + 2t, dy /dt = 2ty + x subject to the initial conditions x = 1, y = -1, t = 0.

Here, we need to find approximate series solution.

Answered: Example 10.27. Find an approximate…

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- 2- SOLUTION BY SERIES 2x²-y + 2y = 0 dx d²y + 24 x dy dx² dx xy = 0
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Example 10.27. Find an approximate series solution of the simultaneous equations dx/dt = xy + 2t, dy/dt = 2ty + x subject to the initial conditions x 1, y = - 1, t = 0. T