Share

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

ConceptOrder and Degree of a Differential Equation

#### 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.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 9: Differential Equations
Q: 4 | Page no. 382

#### Video TutorialsVIEW ALL [3]

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.
S