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(x-y)dy/dx=x+3y...

`(x-y)dy/dx=x+3y`

Text Solution

Verified by Experts

The correct Answer is:
`log|x+y|+(2x)/(x+y)=C`

`x(dv)/(dx)=(1+v)^(2)/(1-v) rArr int (v-1)/(v+1)^(2)dx=-int(dx)/x`.
`rArr int{((v+1)-2)/(v+1)^(2)}dv=-int(dx)/x rArr int1/(v+1)^(2)dv+int(dx)/x=C`
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