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Question Number 96570 by mathmax by abdo last updated on 02/Jun/20

solve  xy^(′′)  −(x^3 +1)y^′  +2y =x^2  e^(−x)  with  y(o)=1 and y^′ (0)=−2

$$\mathrm{solve}\:\:\mathrm{xy}^{''} \:−\left(\mathrm{x}^{\mathrm{3}} +\mathrm{1}\right)\mathrm{y}^{'} \:+\mathrm{2y}\:=\mathrm{x}^{\mathrm{2}} \:\mathrm{e}^{−\mathrm{x}} \:\mathrm{with}\:\:\mathrm{y}\left(\mathrm{o}\right)=\mathrm{1}\:\mathrm{and}\:\mathrm{y}^{'} \left(\mathrm{0}\right)=−\mathrm{2} \\ $$

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