Author Topic: Eurlers Method (Read 825 times) Tweet Share

Halil · « **on:** June 26, 2011, 05:23:34 pm »

Can anyone show me how to solve this with detailed working out? Who ever does it first will win a Specialist trophy

Use Euler's method to find y2 if
dy/dx = 1/x
, given that y0 = y (1) = 1 and h = 0.1.
Express your answer as a fraction.

moekamo · « **Reply #1 on:** June 26, 2011, 05:51:53 pm »

$y_1=y_0+hy'(x_0) = 1 + \frac{1}{10} \frac{1}{1} = \frac{11}{10}$

$y_2=y_1+hy'(x_1) = \frac{11}{10} + \frac{1}{10} \frac{1}{1+0.1} = \frac{11}{10} + \frac{1}{10}\frac{10}{11} = \frac{1}{10}\left ( 11+\frac{10}{11} \right ) = \frac{131}{110}$

hope the answer is right

Halil · « **Reply #2 on:** June 26, 2011, 05:55:54 pm »

Thank you specialist gun.

Its correct, though I dont have that formula, i have another two.
Appreciate your help

taiga · « **Reply #3 on:** June 27, 2011, 01:42:50 am »

for moekamo :p

Halil which formulae did you have? a bit concerned that you have two formulas xD

what you're doing is starting at a point (xo), and finding the gradient at that point and therefore finding the y value at x1 by simply going up (or down) by whatever the gradient*step size tells you to do (and of course across to x1 from x0)

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Author Topic: Eurlers Method (Read 825 times) Tweet Share

Halil

Eurlers Method

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Halil

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