I am revising the modified euler method and would appreciate some help with this question: The

oleifere45

oleifere45

Answered question

2022-06-13

I am revising the modified euler method and would appreciate some help with this question:
The equation is
y  = 2 x y + x 2 e x , y ( 1 ) = 0
Use modified euler method to calculate y ( 1.1 ) taking h = 0.1 (working to 4 decimal places)
Where do i start?

Answer & Explanation

Christina Ward

Christina Ward

Beginner2022-06-14Added 19 answers

k 1 = h f ( x n , y n )
k 2 = h f ( x n + h , y n + k 1 )
y n + 1 = y n + 1 2 ( k 1 4 k 2 )
where
f ( x , y ) = 2 x + x 2 e x

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