Find an explicit solution of the given initial-value problem The image presents a first-order differential equation and an initial condition. The differential equation is:\[ \frac{dy}{dx} = \frac{y^2 - 1}{x^2 - 1} \]There is also an initial condition given:\[ y(7) = 7 \]The goal is to find the function \( y \) that satisfies both the differential equation and the initial condition, and there is an empty box labeled with \( y = \) to fill in the solution. There are no graphs or diagrams associated with this image.

Answered: Image /qna-images/answer/60e533ab-084f-49cb-9cc4-05d5a1fa61fb.jpg

Answered: dy y? – 1 y(7) = 7 1 dx - y =

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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