Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:`x+y=tan^(-1)y` : `y^2y^(prime)+y^2+1=0`

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation : y=Ax : xy'=y(x ne 0)

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=sqrt(1+x^2) : yprime=(x y)/(1+x^2)

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=sqrt(1+x^2) : yprime=(x y)/(1+x^2)

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=sqrt(1+x^2) : yprime=(x y)/(1+x^2)

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=x^2+2x+C : yprime-2x-2=0

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=cosx+C : yprime+sinx=0

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=cosx+C : yprime+sinx=0

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=e^x+1:yprimeprime-yprime=0

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=e^x+1:yprimeprime-yprime=0

Verify that the given function (explicit or implicit) is a solution of the corresponding differential equation: y=xsinx \ -> \ x y^(prime)=y+x\ sqrt(x^2-y^2)