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Question

Integrating Factor (IF) of the differential equation dydx3x21+x3(y)=sin2(x)1+x is

A
e1+x3
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B
log(1+x3)
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C
1+x3
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D
11+x3
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Solution

The correct option is C 11+x3
Given equation is
dydx3x21+x3(y)=sin2(x)1+x

IF=ePdx=e3x21+x3dx

IF=ePdx=e3x21+x3dx

=elog(1+x3)=(1+x3)1

=11+x3

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