For the differential equations in Exercise, perform each of the following tasks.
a) Print out the direction field for the differential equation with the display window defined by t ∈ [−5, 5] and y ∈ [−5, 5], You might consider increasing the number of field points to25in the DFIELD6 Window settings dialog box. On this printout, sketch with a pencil as best you can the solution curves through the initial points (t0, y0) = (0,0), (−2,0), (−3,0), (0,1), and (4,0). Remember that the solution curves must be tangent to the direction lines at each point.
b) Use dfield6 to plot the same solution curves to check your accuracy. Turn in both versions.
y′ = y2 − t2.
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