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(Y'')2 + (Y')3 + Sin Y = 0 - Mathematics

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Question

(y'')2 + (y')3 + sin y = 0

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Solution

\[\left( y'' \right)^2 + \left( y' \right)^3 + \sin y = 0\]
In this differential equation, the order of the highest order derivative is 2 and its power is 2. So, the order of the differential equation is 2 and its degree is 2.
It is a non-linear differential equation, as its degree is 2, which is more than 1.
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Chapter 22: Differential Equations - Exercise 22.01 [Page 5]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 22 Differential Equations
Exercise 22.01 | Q 22 | Page 5

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