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djd48
djd48 djd48
  • 10-02-2017
  • Mathematics
Answered

dy/dx=e^xy find solution

Verified Answer :

LammettHash
LammettHash LammettHash
  • 10-02-2017

\(\dfrac{\mathrm dy}{\mathrm dx}=e^xy\)
\(\dfrac{\mathrm dy}y=e^x\,\mathrm dx\)
\(\displaystyle\int\frac{\mathrm dy}y=\int e^x\,\mathrm dx\)
\(\ln|y|=e^x+C\)
\(y=e^{e^x+C}=Ce^{e^x}\)

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