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(Solved): Use the improved Euler's method to obtain a four-decimal approximation of the ...
Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First use \( h=0.1 \) and then use \( h=0.05 \). \[ \begin{array}{ll} & y^{\prime}=(x-y)^{2}, y(0)=0.4 ; y(0.5) \\ h=0.1 & y(0.5) \approx \\ h=0.05 & y(0.5) \approx \end{array} \]
Expert Answer
Solution: given y?=(x?y)2,y(0)=0.4,h=0.1,y(0.5)=? Euler method y1=y0+hf(x0,y0)=0.4+(0.1)f(0,0.4)