What is the solution for (dx)/(dt)= a/(xt) ?

The solution for (dx)/(dt)= a/(xt) is x=sqrt(2aln(t)+c_{1)},x=-sqrt(2aln(t)+c_{1)}

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(dx)/(dt)= a/(xt)

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

x = 2 a ln (t) + c_{1}, x = - 2 a ln (t) + c_{1}

Solution steps

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

Solve separable ODE:

x = 2 a ln (t) + c_{1}, x = - 2 a ln (t) + c_{1}

x = 2 a ln (t) + c_{1}, x = - 2 a ln (t) + c_{1}

\int - \frac{1}{2 x + 2} d x

x \to 2 - lim (\frac{6}{x - 2})

f (x) = 6 x^{4}

\int_{- 1}^{2} 5 x + 6 d x

n = 1 \sum \infty (- 2)^{n} (x)^{n}

What is the solution for (dx)/(dt)= a/(xt) ?
The solution for (dx)/(dt)= a/(xt) is x=sqrt(2aln(t)+c_{1)},x=-sqrt(2aln(t)+c_{1)}