What is the solution for (dx)/(dt)=2 x/t-0.194t ?

The solution for (dx)/(dt)=2 x/t-0.194t is x=-0.194ln(t)t^2+c_{1}t^2

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(dx)/(dt)=2 x/t-0.194t

\frac{d x}{d t} = 2 \frac{x}{t} - 0.194 t

x = - 0.194 ln (t) t^{2} + c_{1} t^{2}

Solution steps

\frac{d x}{d t} = 2 \frac{x}{t} - 0.194 t

Solve linear ODE:

x = - 0.194 ln (t) t^{2} + c_{1} t^{2}

x = - 0.194 ln (t) t^{2} + c_{1} t^{2}

\frac{\partial}{\partial x} (ln (x^{6} - y^{6}))

\frac{d}{d M} (\frac{2 π r ^{\frac{3}{2}}}{GM})

\frac{d}{d x} (x^{3} - \frac{4}{x})

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y^{^{'}} + (cot (x)) y = sin^{2} (x)

What is the solution for (dx)/(dt)=2 x/t-0.194t ?
The solution for (dx)/(dt)=2 x/t-0.194t is x=-0.194ln(t)t^2+c_{1}t^2