What is the solution for 3(dx)/(dt)=(3x)/(sqrt(t)) ?

The solution for 3(dx)/(dt)=(3x)/(sqrt(t)) is x=e^{2sqrt(t)+c_{1}}

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3(dx)/(dt)=(3x)/(sqrt(t))

3 \frac{d x}{d t} = \frac{3 x}{t}

x = e^{2 t + c_{1}}

Solution steps

3 \frac{d x}{d t} = \frac{3 x}{t}

Solve separable ODE:

x = e^{2 t + c_{1}}

x = e^{2 t + c_{1}}

y^{^{'}} = (y - 1)^{2} - 0.01

y^{^{'}} - 3 y = 12

\frac{d y}{d x} = x y + 5 x + 3 y + 15

y^{^{'}} + \frac{1}{1 - x ^{2}} y = \frac{3}{1 - x ^{2}}

y^{^{'}} - 3 y = - 4

What is the solution for 3(dx)/(dt)=(3x)/(sqrt(t)) ?
The solution for 3(dx)/(dt)=(3x)/(sqrt(t)) is x=e^{2sqrt(t)+c_{1}}