Verify that the given function (Explicit Or Implicit) is a solution of the corresponding differential equation `y = sqrt(a^(2) - x^(2)) x ∈ (-a, a) : x + y (dy)/(dx) = 0(y ne 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 functions(explicit or implicit) is a solution of the corresponding differential equation : y = Bx : xy' = y (x ne 0)

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

verify that the given functions(explicit or implicit) is a solution of the corresponding differential equation : y = cos x + q : y' + sin x = 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

Verify that the given function (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 function (Explicit Or Implicit) is a solution of the corresponding differential equation y = x sin x : xy' = y + x sqrt(x^(2) - y^(2))(x ne 0 and x gt y or x lt -y)

verify that the given functions(explicit or implicit) is a solution of the corresponding differential equation : xy = log y + C : y' = (y^(2))/(1 - xy)(xy ne 1)

Solution of the differential equation dy/dx +y/x = sin x is