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Determine Order and Degree(If Defined) of Differential Equation(D^2y)/(Dx^2)^2 + Cos(Dy/Dx) = 0 - CBSE (Science) Class 12 - Mathematics

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Question

Determine order and degree(if defined) of differential equation `(d^2y)/(dx^2)^2 + cos(dy/dx) = 0`

Solution

`(d^2y)/(dx^2)^2 + cos(dy/dx) = 0`

The highest order derivative present in the given differential equation is `(d^2y)/(dx^2)`. Therefore, its order is 2.

The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined.

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 9: Differential Equations
Q: 4 | Page no. 382
Solution Determine Order and Degree(If Defined) of Differential Equation(D^2y)/(Dx^2)^2 + Cos(Dy/Dx) = 0 Concept: Order and Degree of a Differential Equation.
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