What is the solution for (dx)/(dt)=-sqrt(x) ?

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

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(dx)/(dt)=-sqrt(x)

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d}{d x} (1.5)

\frac{d}{d x} (- 2 x^{2} + 3 x - 6)

f (x) = 7 e^{x} cos (x)

\frac{d}{d x} (2 x e^{- x} - x^{2} e^{- x})

\frac{d y}{d x} = (\frac{4 x}{( 1 + x ^{2} ) ^{\frac{1}{3}}})

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