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Determine the Order and Degree (If Defined) of the Following Differential Equation:- (Y"')2 + (Y")3 + (Y')4 + Y5 = 0 - Mathematics

Short Note
Sum

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

(y"')2 + (y")3 + (y')4 + y5 = 0

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Solution

(y"')2 + (y")3 + (y')4 + y5 = 0

The highest order derivative in the given equation is y''' and its power is 2.

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

i.e., Order = 3 and degree = 2

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APPEARS IN

RD Sharma Class 12 Maths
Chapter 22 Differential Equations
Revision Exercise | Q 1.3 | Page 144
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