Homogeneous differnetial equation || linear differential equation

Homogeneous differential equation

Homogeneous differential equation || Reducible to homogeneous differential equation linear differential equation

Homogeneous Differential Equation

Linear Differential Equations

Homogeneous equation| Linear differential equation

Which of the following statements on ordinary differential equations is/are true ? (i) The number of arbitrary constants is same as the degree of the differential equation. (ii) A linear differential equation can contain products of the dependent variable and its derivatives. (iii) A particular integral cannot contains arbitrary constants. (iv) By putting v=(y)/(x) any homogeneous first order differential equation transforms to variable separable form.

Homogenous Method in differential equations and differential equations reducible to homogeneous equations

Linear and nonlinear differential equation

Reducible To Linear Differential Equations

Show that the differential equation (y sin^(2)((x)/(y))-x)dy+ydx = 0 is homogeneous differential equation. Also find its general solution.