Differential Equations HL - Homogeneous
When a first-order differential equation is not immediately separable or linear, it may still be possible to solve it using a substitution. A first-order homogeneous differential equation can be written in the form \displaystyle \dfrac{\mathrm{d}y}{\mathrm{d}x}=f\!(\dfrac{y}{x}) . The substitution y=vx transforms it into a separable differential equation. Key Concepts On this page, you should learn about Essentials...