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imate solution and green is the tangent at (0,1). Next, note that the \+
slope of the tangent to the yellow curve at (.3, y(.3)) is = 3+exp(-.3
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). Let us throw that in too. In the graph below the new tangent is red
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f we use this tangent to approximate y at .8 we have y =2.05+2.716*(.5
)=3.41 approx. and we would be on the solution of the initial value pr
oblem:y'=3+exp(-t)-.5*y(t), y(.8)=3.41 and we would have to repeat the
 whole procedure. to get the new approximation. Now here I note that I
 have used the plot command for the first time. I must point out that \+
if you are trying to plot only one function you do not need to use the
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