What is the solution for (dy)/(dx)=((y^2+6))/(2y) ?

The solution for (dy)/(dx)=((y^2+6))/(2y) is y=sqrt(e^{x+c_{1)}-6},y=-sqrt(e^{x+c_{1)}-6}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=((y^2+6))/(2y)

\frac{d y}{d x} = \frac{( y ^{2} + 6 )}{2 y}

y = e^{x + c_{1}} - 6, y = - e^{x + c_{1}} - 6

Solution steps

\frac{d y}{d x} = \frac{( y ^{2} + 6 )}{2 y}

Solve separable ODE:

y = e^{x + c_{1}} - 6, y = - e^{x + c_{1}} - 6

y = e^{x + c_{1}} - 6, y = - e^{x + c_{1}} - 6

\frac{d}{d x} (cos (x) + sin (y))

\frac{1}{s ( s + 4 ) ( s + 2 )}

\int \frac{ln ( 3 x + 1 )}{12 x + 4} d x

\frac{d ^{2}}{d x ^{2}} (x (x - 4)^{3})

e^{a x}

What is the solution for (dy)/(dx)=((y^2+6))/(2y) ?
The solution for (dy)/(dx)=((y^2+6))/(2y) is y=sqrt(e^{x+c_{1)}-6},y=-sqrt(e^{x+c_{1)}-6}