10-02-2017
Mathematics

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dy/dx=e^xy find solution

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LammettHash LammettHash

10-02-2017

[tex]\dfrac{\mathrm dy}{\mathrm dx}=e^xy[/tex]
[tex]\dfrac{\mathrm dy}y=e^x\,\mathrm dx[/tex]
[tex]\displaystyle\int\frac{\mathrm dy}y=\int e^x\,\mathrm dx[/tex]
[tex]\ln|y|=e^x+C[/tex]
[tex]y=e^{e^x+C}=Ce^{e^x}[/tex]

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