Free public beta until December 4, 2026: every course is open, no card needed. After that, the first chapter of each course stays free and full access is a one-time $39 ($19 for up to 100 founding members chosen for helpful feedback). Your progress is kept. How the beta works

differential-equations

Variation of parameters

taught

Taught in

Variation of parameters, motivated
Ordinary Differential Equations
Deriving the variation-of-parameters formula
Ordinary Differential Equations

Requires

complementary-and-particular-solutions required
the-wronskian required

Required by

Choosing undetermined coefficients or variation of parameters required
Nonhomogeneous linear systems required
Variation of parameters at higher order required

Local knowledge map

Local knowledge map

Click to expand

Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.