A numerical method for a particular problem is stable if The solution shrinks from one time step to the next. The error Introduced at one time step shrinks at the next. O It's not an implicit method. For the initial value problem, y'=-4y, y(0)=10, in order to ensure that the Euler method is stable, one needs to pick the time step, h, to be < 1/4 O< 1/2 < 1 O< -1/2

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A numerical method for a particular problem is stable if
) The solution shrinks from one time step to the next.
The error Introduced at one time step shrinks at the next.
O It's not an implicit method.
For the initial value problem, y'=-4y, y(0)=10, in order to ensure that the Euler
method is stable, one needs to pick the time step, h, to be
< 1/4
< 1/2
< 1
O<1
< -1/2
Transcribed Image Text:A numerical method for a particular problem is stable if ) The solution shrinks from one time step to the next. The error Introduced at one time step shrinks at the next. O It's not an implicit method. For the initial value problem, y'=-4y, y(0)=10, in order to ensure that the Euler method is stable, one needs to pick the time step, h, to be < 1/4 < 1/2 < 1 O<1 < -1/2
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