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Popular >

(dy)/(dx)-k/2 y^2=0

Solution

\frac{d y}{d x} - \frac{k}{2} y^{2} = 0

Solution

y = - \frac{2}{k ( x + c _{1} )}

Solution steps

\frac{d y}{d x} - \frac{k}{2} y^{2} = 0

Solve separable ODE:

y = - \frac{2}{k ( x + c _{1} )}

y = - \frac{2}{k ( x + c _{1} )}

Graph

Popular Examples

(dx)/(dt)=5-(3x)/(1000+2x)

\frac{d x}{d t} = 5 - \frac{3 x}{1000 + 2 x}

2y^'sin(t)-e^tysin(t)=e^tysin(t)

2 y^{^{'}} sin (t) - e^{t} y sin (t) = e^{t} y sin (t)

(dy)/(dt)= 40/2000-y/(200)

\frac{d y}{d t} = \frac{40}{2000} - \frac{y}{200}

y^{^{'}} + 8 y^{3} = 0

(\frac{dy)/(dt)}{y-49}=-1/5

\frac{\frac{d y}{d t}}{y - 49} = - \frac{1}{5}

Frequently Asked Questions (FAQ)

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