Question: dy/ at = x2 + y3 where x(0) = 0. Tell MATLAB to create a new figure using the figure command. Then use phaseplane to

dy/ at = x2 + y3 where x(0) = 0. Tell MATLAB to create a new figure using the figure command. Then use phaseplane to draw a phase portrait for the system (13), and plot a phase path on your diagram using drawphase; the ylstart value represents x(0) and should therefore be zero, while the y2start value can be any initial value for y(0) of your choosing. Finally, try adding a few more phase paths using other values for y(0). Paste the resulting figure into your Word document. What's the relationship between your phase portrait figures and your direction field figure? [Hint: When you drew the solutions on your direction field, you should have picked several different starting values for x and y. Try drawing some phase paths on your phase portrait with the same initial values. Do the resulting curves match up?]
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