Question

Draw any 4 isoclines and mark the direction fields corresponding to them for the following Differential equations: (a.) y0 = x2 −y2, (b.) y0 = 2y−3 Note, you are not being asked to draw the integral curves, just draw the isoclines and mark little line elements on top of it.

Answer 1

Isoclines are the lines joining points of equal slopes.

In this we calculated dy/dx values by assuming values of x&y. Then, joint the points having equal dy/dx values