x ( t ) = x _ { 0 } e ^ { 0,1 t }
Solve for x
\left\{\begin{matrix}x=\frac{x_{0}e^{\frac{t}{10}}}{t}\text{, }&t\neq 0\\x\in \mathrm{R}\text{, }&x_{0}=0\text{ and }t=0\end{matrix}\right.
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tx=x_{0}e^{\frac{t}{10}}
The equation is in standard form.
\frac{tx}{t}=\frac{x_{0}e^{\frac{t}{10}}}{t}
Divide both sides by t.
x=\frac{x_{0}e^{\frac{t}{10}}}{t}
Dividing by t undoes the multiplication by t.
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