have a tangent line that is nearly horizontal v of must have a tangent line that is nearly vertical and hence y is close to 0 " If x is large, then xy3/4 is large V " Thus, the graph of y m and the gra V (In both cases, we assume reasonable values fo (b) Verify that all members of the family y = 2(c-x2)-1/2 are solutions of the differential equation y' = xy3 4 y = 2(c = x)-1/2 =>>> y' = (c-x2)-3/2 X RHS = xy3/4 = x[2(c - x2)-1/2]3/4 = (c-x2)-3/2 = y' = LHS. X (c) Graph several members of the family of solutions on a common screen. y TQ WebAssign Plot