LAPLACE TRANSFORM SOLUTION OF HIGHER ORDER INITIAL VALUE PROBLEMS
Adebisi A. Ibrahim1 & Rebecca O. Osinowo1,
1Department of Mathematical Sciences
Oduduwa University, Ipetumodu
Email: adebisiibrahim97@gmail.comCorresponding author: Adebisi A. Ibrahim
ABSTRACT
This paper considers the derivation of higher order Laplace transforms. The derivations were obtained from lesser orders and progressively to the sixth order and then generalized. The higher order derivations were then used in the solution of higher order initial value problems (IVP) of orders three to six to illustrate the robustness of Laplace transform solution of ODEs. The solutions were consistent with the given equations which show that the method is valid for higher order IVPs.
Key Words: Laplace Transform, Ordinary Differential Equations, Initial Value Problems
