Consider

$y^n+2y^{\text{'}}-3y=e^{**},y()=-1,y^{\text{'}}(0)=1$

I. Impiticit Euiar Menthed

i$1.$ Eveplich Euler Methmed

if$.$ Mounneditiler Method

A$)1$ enly

b$)11$ and it$!$

$($i$)11$ anly

I innd in

E$)1,11$ and if

$4.$ Consider

$y^{\text{'}\text{'}}-2y^{\text{'}}+0y=\sqrt[\phantom{2}]{x},y^{\text{'}}(0)=1,y^{\text{'}}(3)=3$

How many unknown variables does the system have if we take the number of discretizations as $500,$ that is $N=500?$