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Y D 2 X D Y 2 = Y 2 + 1

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Question

\[y\frac{d^2 x}{d y^2} = y^2 + 1\]
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Solution

\[y\frac{d^2 x}{d y^2} = y^2 + 1\]
In this differential equation, the order of the highest order derivative is 2 and its power is 1. So, it is a differential equation of order 2 and degree 1.
It is a linear differential equation.
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Chapter 21: Differential Equations - Exercise 22.01 [Page 5]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 21 Differential Equations
Exercise 22.01 | Q 9 | Page 5

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