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a^(x)(y^(2)+1)dx=ydyA)a^(x)=tan^(-1)y+c ...

`a^(x)(y^(2)+1)dx=ydy`A)`a^(x)=tan^(-1)y+c` B)`tan^(-1)y=a^(x)log_(a)e+c` C)`a^(x)log_(a)e=log(y^(2)+1)+c` D)`(a^(x))/(loga)=logsqrt(y^(2)+1)+c`

A

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

B

`tan^(-1)y=a^(x)log_(a)e+c`

C

`a^(x)log_(a)e=log(y^(2)+1)+c`

D

`(a^(x))/(loga)=logsqrt(y^(2)+1)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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