dy = y² + 2yt +t² – 2y – 2t – 1 dt a. Find a change of variable that transforms the equation into an autonomous equation change of variable: new equation:
dy = y² + 2yt +t² – 2y – 2t – 1 dt a. Find a change of variable that transforms the equation into an autonomous equation change of variable: new equation:
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
2a. Find a change of variable that transforms the equation into an autonomous equation
change of variable:
new equation:
b. Sketch the phase line for the resulting equation and use it to sketch graphs of the long-term behaviors of all the qualitatively different solutions for the new variable, and then for the original equation.
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