What is the solution for (dy)/(dx)=-sqrt(y) ?

The solution for (dy)/(dx)=-sqrt(y) is y=(x^2)/4-(c_{1}x)/2+(c_{1}^2)/4

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(dy)/(dx)=-sqrt(y)

\frac{d y}{d x} = - y

y = \frac{x ^{2}}{4} - \frac{c _{1} x}{2} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = - y

Solve separable ODE:

y = \frac{x ^{2}}{4} - \frac{c _{1} x}{2} + \frac{c _{1}^{2}}{4}

y = \frac{x ^{2}}{4} - \frac{c _{1} x}{2} + \frac{c _{1}^{2}}{4}

y^{^{'}} + \frac{5}{x} y = 0

\int_{- \infty}^{0} x e^{x} d x

\frac{d}{d x} ((x + h)^{3})

\frac{\partial}{\partial x} (2 x y^{3} cos (x^{2} y^{3}))

\frac{\partial}{\partial y} (3 tan (x y))

What is the solution for (dy)/(dx)=-sqrt(y) ?
The solution for (dy)/(dx)=-sqrt(y) is y=(x^2)/4-(c_{1}x)/2+(c_{1}^2)/4