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Use Euler's Method with Five Steps to Approximate a Solution y=cosyy^{\prime}=\cos y

question 120

Essay

Use Euler's method with five steps to approximate a solution to the differential equation y=cosyy^{\prime}=\cos y
given that
y(0)=1y(0)=-1
. Give both a numerical solution by filling in the table of values, and a graphical solution by plotting your points.
xy010.30.60.91.21.5\begin{array}{ll}x & y \\0 & -1 \\0.3 & \\0.6 & \\0.9 & \\1.2 & \\1.5 &\end{array}


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