Exercise
$\frac{dy}{dx}\sqrt{x}+\sqrt{y}=9$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation dy/dxx^(1/2)+y^(1/2)=9. Divide all terms of the equation by \sqrt{x}. We need to isolate the dependent variable y, we can do that by simultaneously subtracting \frac{\sqrt{y}}{\sqrt{x}} from both sides of the equation. Multiplying the fraction by -1. Combine fractions with common denominator \sqrt{x}.
Solve the differential equation dy/dxx^(1/2)+y^(1/2)=9
Final answer to the exercise
$-2\sqrt{y}-18\ln\left(9-\sqrt{y}\right)=2\sqrt{x}+C_0-18$