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Verify that the given functions (explici...

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: `y=sqrt(1+x^2) :` `y'=(xy)/(1+x^2)` `y=Ax` : `xy'=y(x!=0)`

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`y=sqrt(1+x^2)`
differnetiate with respect to x
`y'=x/(sqrt(1+x^2)`
multiplying and dividing of right side with` sqrt(1+x^2)`
`y'=(xsqrt(1+x^2))/(1+x^2)`
`y'=(xy)/(1+x^2)`
hence proved
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