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  3. a given the fode dydx x 2y with...

Question: a given the fode dydx x 2y with...

Question details

a. Given the FODE                                                               

(dy/dx) = x + 2y with initial conditions y(0)=0,

Obtain first five values of y using Euler’s method with a step size, h=0.1

b.

The exact solution for the DE from Problem a is y = 0.25 e2x - 0.5 x - 0.25

Compare the exact solution and the Euler solution.

Determine the %Error ,  E for each of the five values

  E=|(exact value-estimate)|/exact value)*100%

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