An equation involving derivatives of the dependent variable with respect to the independent variables is called a differential equation. A differential equation of the form dy/dx = F(x, y) is said to be homogeneous if F(x, y) is a homogeneous function of degree zero, whereas a function F(x, y) is a homogenous function of degree n if F(λx, λy) = λⁿ F(x, y). To solve a homogeneous differential equation of the type dy/dx = F(x, y) = g(y/x), we make the substitution y = vx and then separate the variables.

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CASE_STUDIESMethod of Separation of Variables for Differential EquationsHomogeneous Differential EquationsSolution of Homogeneous Differential EquationsCBSE PYQ2 sub-questions

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