Differential equations part3

What is differential equation and order and degree of a differential equation

What is a differential equation and the order and degree of a differential equation?

Find the order of the following differential equations: (d^(3) y)/(dx^(3)) + (3dy)/(dx) - y = 0

Which of the following is a homogenous differential equation ?

Which of the following is a homogeneous differential equation ?

Solve the following differential equations. 3(dy)/(dx)+(2y)/(x+1)=(x^3)/(y^2)

Find the differential equation representing the family of curves y=-Acos 3x + B sin 3x .

Solution of the differential equation (sqrtxdx+sqrtydy)/(sqrtxdx-sqrtydy)=sqrt((y^(3))/(x^(3))) is given by

Find one parameter families of solution curves of the following differential equations: (or solve the following differential equations): (dy)/(dx)-y=cos2x x(dy)/(dx)+y=x^3

Statement I Differential equation corresponding to all lines, ax+by+c=0 has the order 3. Statement II Gereral solution of a differential equation of nth order contains n independent arbitaray constanis.