Differential Equations on the Subject GRE

GRE Math Subject · Axiom Academy

INTRO Differential Equations on the Subject GRE What to expect, how questions appear, and your roadmap through the DE section Differential equations account for roughly 6-8 questions out of 66 on the GRE Math Subject Test -- approximately 10% of the exam. That makes it one of the highest-value topic areas after calculus and linear algebra. These questions tend to be computation-heavy but formulaic . If you know the standard methods, you can solve most of them in under 2 minutes each. That makes DE one of the best sections for reliable point-scoring. Key insight: Unlike abstract algebra or topology questions (which can require creative leaps), DE questions almost always reduce to a known algorithm. Master the algorithms, and you master the section. The Five Question Types You Will See The sweet spot is second-order constant-coefficient equations. They appear the most often and have the most mechanical solution procedure. These are the non-negotiable skills for the DE section: Solve separable equations by separating and integrating Apply the integrating factor for first-order linear ODEs Write the characteristic equation for constant-coefficient second-order ODEs Handle all three root cases: distinct real, repeated, complex conjugate Choose the correct trial solution for undetermined coefficients State the Picard-Lindelof existence and uniqueness theorem Time Management for DE Questions

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