x(y') + y = 3(x^2) + x - 1, y(1) = -1

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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Attached below is a differential equations problem/question:

Make sure to provide a solution to the given initial value problem with the needed differential equations solving technique titled: Integrated Factor Method. Use Integrated Factor Method exclusively for this problem. After solving, make sure to transform your solution to the explicit form of the solution. After your solution, make sure to provide the largest interval I over which the solution is defined.

IVP:

x(y') + y = 3(x^2) + x - 1, y(1) = -1

 

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