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Using Runge-Kutta method of order 4 to approximate y(1) with step size h = 0.1 and...

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Advance Math

Using Runge-Kutta method of order 4 to approximate y(1) withstep size h = 0.1 and h = 0.2 respectively (keep 8 decimals):

dy/dx = x + arctan y, y(0) = 0.

Solutions: when h = 0.1, y(1) = 0.70398191. when h = 0.2, y(1) =0.70394257.

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