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# M4 question watch

1. MEI OCR M4, June02

Using Euler's Method.

xr+1 = xr + h,
yr+1 = yr + hy' r'

where y' is value of dy/dx at (xr , yr )

xr = 1.4 yr = 3.08081 and y'r = 5.3431
what does yr+1 = ???

then when xr =1.5 and 1.6 what does yr, y'r and yr+1

And when xr =1.7, y'r = 6.2269 and yr+1 = 6.1241 what will yr = ???
2. Step 1: x = 1.5
y = 3.8081 + 0.1*5.34310 = 4.34241
y' = 5.64808

Step 2: x = 1.6
y = 4.34241 + 0.1*5.64808 = 4.90722
y' = 5.94243

Step 3: x = 1.7
y = 4.90722 + 0.1*5.94243 = 5.50146
(y' = 6.22691)

Step 4: x = 1.8
(y = 5.50146 + 0.1*6.22691 = 6.12415)

[The bits in brackets are checks. They agree with the given table.]
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