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=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=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=Ax : xy'=y(x ne 0)

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:(2) y=x^2+2x+C : yprime-2x-2=0 (3) y=cos x+c : y'+sinx=0

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: (1)y = e^x +1: y"-y=0(2) y=x^2+2x+C : yprime-2x-2=0 (3) y=cos x+c : y'+sinx=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: x+y=tan^(-1)y : y^2y^(prime)+y^2+1=0