Question

Order and Degree of D.E 1+5/√dy/dx = d2y/dx2 are
a) Order=2 , Degree=1
b) Order=1, Degree=2
c) Order=2, Degree=2
d) Order=1, Degree=1
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Answer 1

Answer:

Correct option is

B

2,2

dx2d2y=[1+(dxdy)2]3/2

Squaring both sides, we get

(dx2d2y)2=[1+(dxdy)2]3

Order: Order of a differential equation is the order of the highest order derivative (also known as differential coefficient) present in the equation

Degree: The degree of the differential equation is represented by the power of the highest order derivative in the given differential equation.

Hence the degree of the given differential is 2 and the order is also 2.