Final Answer
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.
$\frac{y}{e^y}dy=\frac{1}{x^2}dx$
Learn how to solve differential equations problems step by step online. Solve the differential equation x^2ydy/dx=e^y. 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{y}{e^y}dy and replace the result in the differential equation. Solve the integral \int\frac{1}{x^2}dx and replace the result in the differential equation.