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 function (explicit or implicit) is a solution of the corresponding differential equation: y = sqrt(1+x^2) : y = (xy)/(1+x^2)

Verify that the given function (explicit or implicit) isa solution of the correseponding differential equation : y = sqrt(1 + x^2) : y' = (xy)/(1 + x^2)

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))

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))

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

Verifty that the given function (explicit or implict) is a solution of the corresponding differential equation: y=sqrt(1+x^2) : y'=(xy)/(1+x^2)

Verify that the given function (Explicit Or Implicit) is a solution of the corresponding differential equation y = sqrt(1 + x^(2)) : y' = (xy)/(1 + x^(2))

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