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Differential equations

33 concepts in 6 topics and 1 course. Explore freely or follow a guided course.

33concepts
6topics
1courses

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Courses

Topics

Basic concepts 6 concepts

Differential equation · Order and linearity · Solution of a differential equation · Initial value problem · Existence and uniqueness theorem · Direction field

First-order equations 6 concepts

Separable equation · First-order linear equation · Integrating factor · Exact equation · First-order homogeneous equation · Bernoulli equation

First-order models 4 concepts

Equilibrium points · Exponential growth and decay · Logistic model · Newton's law of cooling

Higher-order linear equations 7 concepts

Second-order linear equation · Superposition principle · Wronskian · Characteristic equation · Undetermined coefficients · Variation of parameters · Harmonic oscillator

Laplace transform 5 concepts

Laplace transform · Inverse Laplace transform · Laplace transform of a derivative · Unit step function · Convolution

Systems and stability 5 concepts

System of differential equations · Linear system and eigenvalues · Phase plane · Stability of an equilibrium · Eigenvalue and eigenvector