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A Direction Field for a Differential Equation Is Given Below [0,4][ 0,4 ]

Question 138

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A direction field for a differential equation is given below. Use a straightedge to draw the graphs of the Euler approximations to the solution curve over the interval [0,4][ 0,4 ] that passes through y(0)=1y ( 0 ) = 1 . Use as step sizes h=4h = 4 , h=2h = 2 , h=1h = 1 and h=0.5h = 0.5 .  A direction field for a differential equation is given below. Use a straightedge to draw the graphs of the Euler approximations to the solution curve over the interval  [ 0,4 ]  that passes through  y ( 0 ) = 1  . Use as step sizes  h = 4  ,  h = 2  ,  h = 1  and  h = 0.5  .

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