What is the solution for (dx)/(dt)= 4/x ?

The solution for (dx)/(dt)= 4/x is x=sqrt(8t+c_{1)},x=-sqrt(8t+c_{1)}

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(dx)/(dt)= 4/x

\frac{d x}{d t} = \frac{4}{x}

x = 8 t + c_{1}, x = - 8 t + c_{1}

Solution steps

\frac{d x}{d t} = \frac{4}{x}

Solve separable ODE:

x = 8 t + c_{1}, x = - 8 t + c_{1}

x = 8 t + c_{1}, x = - 8 t + c_{1}

2 x^{^{'}} + x = 0

\frac{d y}{d x} sin (2 y) - cos (x) = 0

\frac{d r}{d t} = 0.1872 r, r (0) = 24

y^{^{'}} + 2 x y^{2} = 0, y (0) = \frac{1}{x ^{2} + c}, y (0) = 1

(x - y x) d y + y d x = 0

What is the solution for (dx)/(dt)= 4/x ?
The solution for (dx)/(dt)= 4/x is x=sqrt(8t+c_{1)},x=-sqrt(8t+c_{1)}