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I have this differential equation $y'=\frac{y(\sin t)}{t}$, $y(0)=2$, and $h=\frac{1}{4}$. The first set of values, the inital, are $(0,2)$. For the next iteration would it be $y_1=2+(\frac{1}{4})\left(\frac{2\cdot\sin(0)}{0}\right)$? I know you can't divide by zero, so what would should I do in this case?

Thank you.

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up vote 3 down vote accepted

Use the fact that $$ \lim_{x\to 0} \frac{\sin(x)}{x}=1. $$

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Great, I didn't think of that, thanks! – Alti Nov 28 '12 at 4:54
@Alti: You are welcome. – Mhenni Benghorbal Nov 28 '12 at 5:38

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