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Solve-the-d-e-using-method-of-variation-of-parameter-d-2-y-dx-2-3-dy-dx-2y-sin-e-x-




Question Number 47623 by Umar last updated on 12/Nov/18
Solve the d.e using method of variation  of parameter.     (d^2 y/dx^2 )+3(dy/dx)+2y=sin(e^x )
$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{d}.\mathrm{e}\:\mathrm{using}\:\mathrm{method}\:\mathrm{of}\:\mathrm{variation} \\ $$$$\mathrm{of}\:\mathrm{parameter}. \\ $$$$ \\ $$$$\:\frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} }+\mathrm{3}\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{2y}=\mathrm{sin}\left(\mathrm{e}^{\mathrm{x}} \right) \\ $$

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