What is the solution for 1/(2sqrt(x))+1/(2sqrt(y))(dy)/(dx)=0 ?

The solution for 1/(2sqrt(x))+1/(2sqrt(y))(dy)/(dx)=0 is y=x-2c_{1}sqrt(x)+c_{1}^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/(2sqrt(x))+1/(2sqrt(y))(dy)/(dx)=0

\frac{1}{2 x} + \frac{1}{2 y} \frac{d y}{d x} = 0

y = x - 2 c_{1} x + c_{1}^{2}

Solution steps

\frac{1}{2 x} + \frac{1}{2 y} \frac{d y}{d x} = 0

Solve separable ODE:

y = x - 2 c_{1} x + c_{1}^{2}

y = x - 2 c_{1} x + c_{1}^{2}

e^{2 t} \frac{d x}{d t} = cos^{2} (x)

x \frac{d y}{d x} - y = 6 x^{9} y

u^{^{'}} = e^{6 H (t) + 9 t}

4 y^{^{'}} + 2 y = 120, y (0) = 1

\frac{d y}{d t} = \frac{6 t ^{2}}{5 y}

What is the solution for 1/(2sqrt(x))+1/(2sqrt(y))(dy)/(dx)=0 ?
The solution for 1/(2sqrt(x))+1/(2sqrt(y))(dy)/(dx)=0 is y=x-2c_{1}sqrt(x)+c_{1}^2