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Calculate the power $e^3$
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$\frac{dy}{dx}=-2y=e^{3}x$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=-2y=e^3x. Calculate the power e^3. 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}{-2y}dy and replace the result in the differential equation.