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How to solve odes without using ode package rather using RK4 method.

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How to solve system of ODES without using Ode package rather using RK4 method and plot(t,y1,t, y2,t, y3).
dy1/dx = 3*y1+y2; dy2/dx = y2-y1+y2^4+y3^4; dy3/dx = y2+y3^4+3+y2^4; Initial condition: [0 1 1].

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