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=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=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 -cos y = x : (y sin y + cos y + x) y' = y

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=sqrt(a^2-x^2)x in (-x , a) : x+y(dy)/(dx)=0(y!=0)

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=sqrt(a^2-x^2)x in (-x , a) : x+y(dy)/(dx)=0(y!=0)

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