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dynamical-systems

Writing a system in matrix form

taught

Taught in

Requires

Required by

Local knowledge map

Local knowledge map

Fundamental matrices The eigenvalue method -- distinct real eigenvalues Trajectories vs. solution curves Vector-valued solutions and the vector Wronskian Writing a system in matrix form Building a differential equation from a word… Converting an $n$th-order equation to a first-order… Data as vectors and matrices Exact differential equations Existence and uniqueness (the Picard-Lindelof… Explicit vs. implicit solutions Hooke's law and the spring restoring force Linear independence of two functions Linear vs. nonlinear differential equations Matrix multiplication Separable differential equations Slope fields The batch dimension and broadcasting, as engineering convention Why a closed-form solution isn't always available nn.Linear is Wx + b np.dot and @ compute the dot product and the matrix product Matrix-vector multiplication two ways: the row picture… What a differential equation is (order, solutions, general vs… Chain rule for derivatives

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