Chapter 38 – Solving Linear Differential Equations with Inter Sequence Polynomials


This chalkboard demonstrates using ISPs to solve second, third and fourth order homogeneous ordinary differential equations.  These solutions agree with the Binet formula solution for second order and Binet-like formula for higher order ODEs. A comparison of these solutions to the Laplace Transform method is also shown.  Non-homogeneous ODEs are also found to be solvable by ISP sequences. Equations for finding the solutions to second, third and fourth order non-homogeneous ODEs by ISP are shown.