Solution-Runge-kutta method, Use 4th order Runge-Kutta

Runge-kutta method

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Reference no: EM13297189

Consider the initial value problem

dy/dt = 1 - t³/y with y(0) = 1

i) Use Midpoint Method with step size h =0.2 and h =0.1 to find y(2);

ii) Use 4^th order Runge-Kutta Method with step size h =0.2 and h =0.1 to find y(2).

iii) Sketch all the solutions on the interval [1, 2] with appropriate legend for comparison.

Reference no: EM13297189

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Runge-kutta method

Reference no: EM13297189

Reference no: EM13297189

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