** Final Answer

**

** Step-by-step Solution **

** Specify the solving method

**

**

We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $3x\sqrt{x+1}$ from both sides of the equation

Learn how to solve differential equations problems step by step online.

$\frac{dy}{dx}=0-3x\sqrt{x+1}$

Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx+3x(x+1)^1/2=0. We need to isolate the dependent variable y, we can do that by simultaneously subtracting 3x\sqrt{x+1} from both sides of the equation. x+0=x, where x is any expression. 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 y, and the right side with respect to x.

** Final Answer

**