** Final Answer

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** Step-by-step Solution **

** Specify the solving method

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Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$

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Group the terms of the differential equation. Move the terms of the $y$ variable to the left side, and the terms of the $x$ variable to the right side of the equality

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Integrate both sides of the differential equation, the left side with respect to $y$, and the right side with respect to $x$

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Solve the integral $\int\frac{1}{e^{2y}}dy$ and replace the result in the differential equation

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Solve the integral $\int e^{3x}dx$ and replace the result in the differential equation

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Find the explicit solution to the differential equation. We need to isolate the variable $y$

** Final Answer

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