Verify that the implicit equation x^2 − y^2 = C, where C is a constant,represents a solution to the ODE y′ =x/y.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
Question

 Verify that the implicit equation x^2 − y^2 = C, where C is a constant,
represents a solution to the ODE y′ =x/y. 

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