Differential equations part2

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?

Differential equation of the family of circles touching the line y=2 at (0,2) is

Solve the following differential equations: (x+tany)dy=sin2ydx

Which of the following is a homogenous differential equation ?

Which of the following is a homogeneous differential equation ?

Find one parameter families of solution curves of the following differential equations: (or solve the following differential equations): (a) (x+y)(dy)/(dx)=1 (b) x(dy)/(dx)+\ 2y=x^2logx

Find one parameter families of solution curves of the following differential equations: (or solve the following differential equations): (a) (dy)/(dx)cos^2x=tanx-y (b) xlogx \ (dy)/(dx)+y=2logx

Show that the differential equation x^(2)(dy)/(dx) = x^(2)+ xy + y^(2) is homogeneous differential equation. Also find its general solution.

Find the differential equation corresponding to the equation y=Ae^(2x)+Be^(-x) .