There are several methods available; analytical (Exact), approximate and numerical; for solving differential equations. Most of these methods are computationally exhaustive because they require a lot of time and space. The Zhou’s differential transform technique has an edge over the traditional methods as it uses the polynomial as the approximation to exact solution. In this paper differential transform technique is employed to solve some nonlinear nonhomogeneous, initial value problems in system of differential equations which are often encountered in applied sciences and engineering. The solutions produced by differential transform method are compared with the exact solutions achieved by Laplace transform technique. It is observed that numerical results obtained by differential transform method are in good agreements with the analytical solutions.

Differential transform technique, System of differential equations, Laplace transforms technique, Exact solution

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