Unit · year 2
MU-205 · Ordinary Differential Equations
Threads change5 theorems
Existence, structure and solution of differential equations.
Theorems in this unit
T-063
The Picard–Lindelöf theorem
A Lipschitz ODE has a unique local solution.
T-064
Superposition for linear ODEs
Solutions of a linear equation form a vector space.
T-065
The Wronskian and independence
A non-vanishing Wronskian certifies linear independence of solutions.
T-066
Variation of parameters
A particular solution from the homogeneous solutions.
T-067
Linear stability and the phase plane
Eigenvalues of the linearisation classify equilibria.