Mathematics: Analysis and Approaches · Topic 5: Calculus

AHL5.18 — First order differential equations

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. Euler's method

   Numerical solution of dy/dx = f(x,y) using Euler's method.

2. Separable variables

   Solving dy/dx = g(x)h(y) by separating the variables.

3. Homogeneous equations

   Solving dy/dx = f(y/x) with the substitution y = vx.

4. Integrating factor

   Solving the linear equation y' + P(x)y = Q(x).