Final Answer
Step-by-step Solution
Specify the solving method
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 problems step by step online.
$\frac{y}{\sqrt{y^2+1}}dy=4xdx$
Learn how to solve problems step by step online. Solve the differential equation ydy=4x(y^2+1)^1/2dx. 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}{\sqrt{y^2+1}}dy and replace the result in the differential equation. Solve the integral \int4xdx and replace the result in the differential equation.