Question: ( 1 5 % ) Use the implicit Euler's method to solve ( dy _ ( 1 ) ) / ( dx ) = 2

(15%) Use the implicit Euler's method to solve
(dy_(1))/(dx)=2y_(2)-0.5y_(1)
(dy_(2))/(dx)=4-0.3y_(2)+0.1y_(1)
y_(1)(0)=4,y_(2)(0)=6
to obtain y 1 and y 2 at x=0.5 using a step size h=0.5
( 1 5 % ) Use the implicit Euler's method to

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