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

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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 21: Differential Equations - Exercise 22.01 [Page 5]

APPEARS IN

R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 21 Differential Equations
Exercise 22.01 | Q 22 | Page 5

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