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The integrating factor of x (dy)/(dx) +...

The integrating factor of ` x (dy)/(dx) + (1+x)y = x` is

A

x

B

2x

C

`e^(x log x)`

D

`xe^(x)`

Text Solution

Verified by Experts

The correct Answer is:
a
` x (dy)/(dx) + (1+x) y = x rArr (dy)/(dx) + (1+x)/x y = 1`
` :. If = e^(int (1+x)/xdx) = e ^(int (dx)/x+int dx)= e^(logx +x) = xe^(x)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-MHT CET Corner
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