# Math/Euler's Method

posted by
**COFFEE**
.

Consider a cooling cup of coffee whose initial temperature is 205°. The room temperature is held at 70°. Suppose k = 1/16. Let y be the temperature, and y' its time derivative.

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I have the differential equation:

y' = (-1/16)(y-70)

Initial condition: yo = 205

Continuous solution equation:

y(t) = 70 + 135*exp((-1/16)(t))

I am supposed to use Euler's Method to find the temperature after 5, 20, 30 and 60 minutes. I have to find: Temperature

Euler's Method (dt = 5) and Temperature

Euler's Method (dt = 1) for 5, 20, 30 and 60. How do I do this??? Please help

http://www.math.montana.edu/frankw/ccp/calculus/des/euler-formulas/learn.htm

for dt=5, n= 135/5

for dt=1, n= 135

Euller was a dictator...