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Question: Find the solution to the nonlinear ODE y(t) - 3t-¹y(t) = t4y(t)²; y(1) = 1, and find the largest T for which the solution is defined on 0 < t < T. Hint: Divide by y², and re-express in terms of the new function u = y of t to obtain a linear ODE.

Question: Find the solution to the nonlinear ODE y(t) - 3t-¹y(t) = t4y(t)²; y(1) = 1, and find the largest T for which the solution is defined on 0 < t < T. Hint: Divide by y², and re-express in terms of the new function u = y of t to obtain a linear ODE.

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: Find the solution to the nonlinear ODE y(t)- 3t-¹y(t) = t4y(t)²; y(1) = 1, and find the largest T for which the solution is defined on 0 < t < T. Hint: Divide by y², and re-express in terms of the new function u = y¹ of t to obtain a linear -1 ODE.
Transcribed Image Text:Question: Find the solution to the nonlinear ODE y(t)- 3t-¹y(t) = t4y(t)²; y(1) = 1, and find the largest T for which the solution is defined on 0 < t < T. Hint: Divide by y², and re-express in terms of the new function u = y¹ of t to obtain a linear -1 ODE.
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