y′=−28y+2sin(2x),0≤x≤3,y(0)=4.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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y′=−28y+2sin(2x),0≤x≤3,y(0)=4.
 
we consider the initial value problem above.
When applying the midpoint method, what is the largest step size ℎ for which the midpoint method is stable(stiff ODEs)?

 

y'=-28y+2sin(2x), 0≤x≤3, y(0)=4.
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