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D 2 Y D X 2 + ( D Y D X ) 2 + X Y = 0

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Question

\[\frac{d^2 y}{d x^2} + \left( \frac{dy}{dx} \right)^2 + xy = 0\]
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Sum
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Solution

\[\frac{d^2 y}{d x^2} + \left( \frac{dy}{dx} \right)^2 + xy = 0\]

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 non-linear differential equation, as the differential coefficient \[\frac{dy}{dx}\]  has exponent 2, which is greater than 1.

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Chapter 21: Differential Equations - Exercise 22.01 [Page 5]

APPEARS IN

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

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