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Question : 3
Total: 29
Write the order and the degree of the differential equation (
) 2 = [ x + (
) 2 ] 3 .
Solution:
The given differential equation is (
) 2 = [ x + (
) 2 ] 3 (
) 2 = x 3 + (
) 6 + 3 x 2 (
) 2 + 3 x (
) 4
The highest order derivative in the differential equation is
⇒ Order of the given differential equation is 4 .
The highest power raised to
is 2 ⇒ Degree of the given differential equation is 2 .
The highest order derivative in the differential equation is
The highest power raised to
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