Exercise
$\frac{dy}{dx}+1=\frac{y+4x}{y}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation dy/dx+1=(y+4x)/y. Grouping the terms of the differential equation. Combine all terms into a single fraction with y as common denominator. Cancel like terms y and -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.
Solve the differential equation dy/dx+1=(y+4x)/y
Final answer to the exercise
$y=\sqrt{4x^2+C_1},\:y=-\sqrt{4x^2+C_1}$