Mathematics · self-study course
Differential equations and numerical methods
Connect initial conditions, linear differential equations and numerical approximation with error and conditioning.
3 lessons24 quiz questionsUniversity
Your learning path
- 01
Initial-value problems and equilibrium
Solving a differential equation produces constants; initial conditions select a particular solution.
University · Notes · 8 questions - 02
Second-order equations and resonance
For constant coefficients, an exponential trial function reduces the homogeneous ODE to a polynomial.
University · Notes · 8 questions - 03
Numerical approximation and conditioning
Truncation error comes from approximation; round-off comes from finite-precision arithmetic.
University · Notes · 8 questions