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≤?≤3, y(0)=4.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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?′=−28?+2sin(2?),0≤?≤3,?(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≤?≤3, y(0)=4.
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