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

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Question

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

(y"')2 + (y")3 + (y')4 + y5 = 0

Short/Brief Note
Sum
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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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Chapter 21: Differential Equations - Revision Exercise [Page 144]

APPEARS IN

R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 21 Differential Equations
Revision Exercise | Q 1.3 | Page 144

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