The best replacement for differential equations is linear algebra.


The best alternatives to differential equations are rated as following:
★★★★★  linear algebra
★★  multivariable calculus
★  calculus
★  calc 3
★  linear algebra harder
★  calculus 2
★  calculus 3
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  calculus iii
  partial differential equations
  difference equations

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Speaking about differential equations, one probably shouldn't forget about integrating factor.

Other search terms related to differential equations and their ratings are:

★★★★★ integrating factor
★★★ laplace transforms
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differential equations
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multivariable calculus