Understand the PDE type: elliptic, parabolic, hyperbolic
Learn the standard forms of each PDE
Memorize the key operators: gradient, divergence, Laplacian
Rewrite PDEs in your own notation
Identify the physical meaning of each term
Practice deriving PDEs from basic principles
Use flashcards for equations and boundary conditions
Group PDEs by similarity
Memorize one canonical example for each PDE class
Repeatedly write the equations from memory
Solve many problems using the same PDE
Compare PDEs side by side
Focus on the assumptions behind each equation
Learn common boundary and initial conditions
Use spaced repetition
Teach the PDE to someone else
Create a formula sheet and review it daily
Practice transforming PDEs into simpler forms
Memorize the solution methods associated with each PDE
Review regularly in short sessions
Test yourself without looking at notes