- #1

gionole

- 281

- 24

- Homework Statement
- Help me solve differential equation

- Relevant Equations
- ##\frac{\dot x}{\sqrt{y(1+\dot x^2)}} = \text{const}##

I'm trying to solve the following differential:

##\frac{\dot x}{\sqrt{y(1+\dot x^2)}} = \text{const}##

##\dot x## is the derivative with respect to ##y##.

How do I solve it so that I end up with ##x(y)## solution ? You can find this here, but there're 2 problems: 1) I don't understand what ##a## is and how author solves it 2) Author solves it as moving into ##\theta##, which I don't want. I prefer to know how I solve it to get ##x(y)##.

##\frac{\dot x}{\sqrt{y(1+\dot x^2)}} = \text{const}##

##\dot x## is the derivative with respect to ##y##.

How do I solve it so that I end up with ##x(y)## solution ? You can find this here, but there're 2 problems: 1) I don't understand what ##a## is and how author solves it 2) Author solves it as moving into ##\theta##, which I don't want. I prefer to know how I solve it to get ##x(y)##.