Differential Equations — Part 2: Homogeneous and linear equations, growth and decay: visual lesson, ISC Class 12 Mathematics

Lesson

Differential Equations, Part 2

Two powerful methods: the substitution $y = vx$ and the integrating factor.

In this lesson you will

Worked example 6: a homogeneous equation solved with $y = vx$.

Concept

Part 2 at a glance.

Concept

$F(x, y)$ is homogeneous of degree $n$ if $F(\lambda x, \lambda y) = \lambda^nF(x, y)$ .