Originally Posted by

**exphate** Hey guys,

I'm doing some numerical lin.alg work that requires me to work by hand. I'm having trouble with the following question:-

Consider the IVP $\displaystyle dy/dx = U$$\displaystyle x, y(0) = 1$

*U is some constant

We wish to nd the solution at a given, xed value of x > 0 using a forward-Euler method. To this end we divide the interval [0; x] into n equally spaced intervals of length h = x=n and use the forward-Euler scheme

$\displaystyle {Y}_{j+1}$ = $\displaystyle {Y}_{j}$ + $\displaystyle U*h*{Y}_{j+1}$

**The question I'm struggling with is the following**:

**Show that the forward Euler scheme implies that **$\displaystyle {Y}_{j}$ = $\displaystyle (1+Uj)^n$ and hence,

$\displaystyle log{Y}_{n}$ = $\displaystyle nlog(1+Uj)$

Anyone got any tips, a start or something so that I can get through this question? I'm just completely lost with it.