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Determine the Order and Degree (If Defined) of the Following Differential Equation:- Y"' + Y2 + Ey' = 0 - Mathematics

Short Note
Sum

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

y"' + y2 + ey' = 0

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Solution

y"' + y2 + ey' = 0

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

Therefore, the given differential equation is of third order.

This equation cannot be expressed as a polynomial of derivative.

Thus, the degree is not defined.

i.e., Order = 3 and degree is not defined.

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APPEARS IN

RD Sharma Class 12 Maths
Chapter 22 Differential Equations
Revision Exercise | Q 1.7 | Page 144
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