- Thread starter
- #1

#### karush

##### Well-known member

- Jan 31, 2012

- 2,886

**initial value**problem in explicit form.

$$xdx+ye^{-x}dy=0, \quad y(0)=1$$

\begin{align*}\displaystyle

xdx&=-ye^{-x}dy \\

\frac{x}{e^{-x}}\, dx&=-y\, dy\\

xe^x\, dx&=-y\, dy

\end{align*}

(b) Plot the

**graph**of the solution

$\quad \textit{ok... I tried some attempts in W|A but my input didn't work}\\$

(c) Determine (at least approximately) the

**interval**in which the solution is defined.

$\quad \textit{...provided by initial value!}$