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Problem 3(20pts) : Solve the following differential equations using the fourth order Runge-Kutta method. For x=0, assume y1=4 and y2=6. Integrate up to x=0.5 by

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Problem 3(20pts) : Solve the following differential equations using the fourth order Runge-Kutta method. For x=0, assume y1=4 and y2=6. Integrate up to x=0.5 by taking the step size 0.5. dxdy1=0.5y1dxdy2=40.3y20.1y1 (Correct solution set up is 5pts and correct results are 15pts )

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