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This article presents an accurate solution for the Pantograph delay differential equation using the Laplace transform. The Pantograph equation is a fundamental model in delay differential equations. The Laplace transform is applied to obtain the solution in a closed series form involving exponential functions. Special cases are shown to match existing literature solutions. Numerical computations demonstrate the residuals tending to zero, showing the accuracy of the method. The Laplace transform is concluded

Author

hkjeaid

Language

EN