The solution of the differential equation `dy/dx=1+y/x+(y/x)^2` i… - Vidyadip

MCQ

The solution of the differential equation `dy/dx=1+y/x+(y/x)^2` is ______.

A
`sin^-1(y/x)=logx+c`
B
`sin^-1(y/x)=-logx+c`
✓
`tan^-1(y/x)=logx+c`
D
`tan^-1(y/x)=-logx+c`

✓

Answer

Correct option: C.

`tan^-1(y/x)=logx+c`

C

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