Final answer to the problem
Step-by-step Solution
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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
Learn how to solve differential equations problems step by step online.
$y\cdot dy=e^xdx$
Learn how to solve differential equations problems step by step online. Solve the differential equation (ydy)/dx=e^x. 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 ydy and replace the result in the differential equation. Solve the integral \int e^xdx and replace the result in the differential equation.