Final Answer
Step-by-step Solution
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We need to isolate the dependent variable , we can do that by simultaneously subtracting $y^2$ from both sides of the equation
Learn how to solve differential equations problems step by step online.
$\frac{x\cdot dy}{dx}=1-y^2$
Learn how to solve differential equations problems step by step online. Solve the differential equation (xdy)/dx+y^2=1. We need to isolate the dependent variable , we can do that by simultaneously subtracting y^2 from both sides of the equation. 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}{1-y^2}dy and replace the result in the differential equation.