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I need your help, please! I'm taking this course at my university, but I don't know what should i do about this differential equation: y'=(3*e^(x+y))/(x^2+2): I solved it online, but the solution has 'Ei(x)' (The exponential integral)!
 10 months ago
 10 months ago
I need your help, please! I'm taking this course at my university, but I don't know what should i do about this differential equation: y'=(3*e^(x+y))/(x^2+2): I solved it online, but the solution has 'Ei(x)' (The exponential integral)!
 10 months ago
 10 months ago

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DanielM_113Best ResponseYou've already chosen the best response.0
Did you use variable separation? What is the form of the equation that needs the exponential integral?
 10 months ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
\[\begin{align}y'&=\frac{3e^{x+y}}{x^2+2}\\\frac{\mathrm dy}{\mathrm dx}&=\frac{3e^xe^y}{x^2+2}\\\frac{\mathrm dy}{e^y}&=\frac{3e^x\mathrm dx}{x^2+2}\\\int e^{y}\mathrm dy&=3\int\frac{e^x}{x^2+2}\mathrm dx\\&=\end{align}\]
 10 months ago
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