Final answer to the problem
Step-by-step Solution
Specify the solving method
Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}=e^{3x}e^{2y}$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=e^(3x+2y). Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. 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. Integrate both sides of the differential equation, the left side with respect to . Solve the integral \int\frac{1}{e^{2y}}dy and replace the result in the differential equation.