Exercise
$\frac{dy}{dx}\:2\sqrt{x}+\sqrt{y}=3$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation dy/dx2x^(1/2)+y^(1/2)=3. Divide all terms of the equation by 2\sqrt{x}. We need to isolate the dependent variable y, we can do that by simultaneously subtracting \frac{\sqrt{y}}{2\sqrt{x}} from both sides of the equation. Multiplying the fraction by -1. Combine fractions with common denominator 2\sqrt{x}.
Solve the differential equation dy/dx2x^(1/2)+y^(1/2)=3
Final answer to the exercise
$-2\sqrt{y}-6\ln\left(3-\sqrt{y}\right)=\sqrt{x}+C_0-6$