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Verify that the Given Functions (Explicit Or Implicit) is a Solution of the Corresponding Differential Equation Xy = Log Y + C : `Y' = (Y^2)/(1 - Xy) (Xy != 1)` - Mathematics

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Question

verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation

xy = log y + C :  `y' = (y^2)/(1 - xy) (xy != 1)`

Solution

xy = log y + C

Differentiating both sides of this equation with respect to x, we get:

Hence, the given function is the solution of the corresponding differential equation.

  Is there an error in this question or solution?
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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 (Latest))
Chapter 9: Differential Equations
Q: 7 | Page no. 385
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Verify that the Given Functions (Explicit Or Implicit) is a Solution of the Corresponding Differential Equation Xy = Log Y + C : `Y' = (Y^2)/(1 - Xy) (Xy != 1)` Concept: General and Particular Solutions of a Differential Equation.
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