Write the degree of the differential equation ...

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CBSE Class 12 Math 2013 Solved Paper

Question : 6 of 29

Marks: +1, -0

Write the degree of the differential equation x2(

d2y

dx2

)2+(

)4 = 0

Solution:

x2(

d2y

dx2

)2+(

)4 = 0
We know that the degree of a differential equation is the highest power (exponent) of the highest order derivative in it.
The highest order derivative present in the given differential equation is

d2y

dx2

. Its power is 2. So, the degree of the given differential equation is 2.

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