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Determine the Order and Degree (If Defined) of the Following Differential Equation:- Y" + (Y')2 + 2y = 0 - Mathematics

Short Note
Sum

Determine the order and degree (if defined) of the following differential equation:-

y" + (y')2 + 2y = 0

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Solution

y" + (y')2 + 2y = 0

The highest order derivative in the given equation is y'' and its power is 1.

Therefore, the given differential equation is of second order and first degree.

i.e., Order = 2 and degree = 1

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APPEARS IN

RD Sharma Class 12 Maths
Chapter 22 Differential Equations
Revision Exercise | Q 1.5 | Page 144
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