Use Euler's method and modified Euler's method to solve the initial value problem dy/dx = 1+x/1+y,
y(1) = 2 and 1≤ x ≤ 4 to approximate y(1.72), y(1.72+0.72), y(1.(3×72)), y(1.(4×72)),
The exact solution is given by y(x)=x+ 1/1-x . Determine the crror at cach step.
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