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Unformatted text preview: dy dt = p 2 yy 2 , y ( ) = 1 . Use Heuns method with stepsize h = . 5 to approximate y ( 1 . ) where y is the solution of the initialvalue problem dy dt =y ln y , y ( ) = 1 2 . Consider the IVP system y = u v = t + u + v 1 1 + u + v , y ( ) = u ( ) v ( ) = 1 1 . Use Eulers method with timestep h = 1 / 4 to compute y 2 ' y ( t 2 ) = y ( 1 / 2 ) . Consider the IVP system y = u v = u + 2 v 3 u + 2 v , y ( ) = u ( ) v ( ) = 6 4 . Use the classical RungeKutta method of order 4 with timestep h = . 1 to compute y 2 ' y ( t 2 ) = y ( . 2 ) ....
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 Spring '10
 aruliahdhavidhe
 Differential Equations, Equations

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