Applications of linear algebra to differential equations

 
• Ordinary differential equations
  • First order linear differential equations with constant coefficients
  • Solving systems by finding eigenvalues and eigenvectors
  • Solution by converting a system to diagonal form
  • Principal matrix solution
• Weighted residual methods for solving ODE and PDE
  • Point collocation method
  • Subdomain collocation method
  • Least square method
  • Galerkin's method