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Question

If m and n are order and degree of the equation
(d2ydx2)5+4(d2ydx2)(d3ydx3)+(d3ydx3)=x21 then (m,n)=

A
(3,3)
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B
(3,2)
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C
(3,5)
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D
(3,1)
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Solution

The correct option is B (3,2)
Given equation can be written as
y52+4y2y3+y3=(x21)

y3y52+4y2+y23(x21)y3=0

Order =3 (Order of a differential equation is the order of the highest derivative (also known as differential coefficient) present in the equation.)
Degree =2 (The degree of differential equation is represented by the power of the highest order derivative in the given differential equation.)

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