Solutions

Here DSolve hangs, because the equation is far from linear, so we must seek a numerical solution. Note that if you try to solve this all the way to the end of the fuel, i.e. t→100, you get a warning for dividing by zero.

In[17]:=

(*3.1*)Clear[m, y, t, g, a, F, k] ; m[t] := m_0 - a t ; m_0 = 1000 ; ... 1, 1] ; Plot[{y[t]/.y_1, y[t]/.y_0}, {t, 0, 90}, PlotStyle {Hue[0.1], Hue[0.9]}]

[Graphics:../HTMLFiles/ex06_solutions_24.gif]

Out[22]=

⁃Graphics⁃


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