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Question
Solution
We have,
\[5\frac{dy}{dx} = e^x y^4 \]
\[ \Rightarrow \frac{5}{y^4}dy = e^x dx\]
Integrating both sides, we get
\[\int\frac{5}{y^4}dy = \int e^x dx\]
\[ \Rightarrow \frac{- 5}{3 y^3} = e^x + C\]
\[\text{ Hence, }\frac{- 5}{3 y^3} = e^x +\text{ C is the required solution .}\]
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