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Question

Order of the equation 1+5dydx32=10d3ydx3 is


A

2

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B

3

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C

1

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D

0

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Solution

The correct option is B

3


Explanation for the correct option:

Find the order of the equation:

Given : 1+5dydx32=10d3ydx3

Squaring on both sides,

1+5dydx3=100d3ydx321+15dydx+75dydx2+125dydx3=100d3ydx32∵a+b3=a3+3a2b+3ab2+b3

The highest Derivative of the differential equation is called as order.

Therefore, the order of the equation is 3

Hence, option (B) is the correct answer.


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