In parts (a) and (b) sketch isoclines f(x, y) = cf(x, y)=c for the given differential equation using the indicated values of cc. Construct a direction field over a grid by carefully drawing lineal elements with the appropriate slope at chosen points on each isocline. In each case, use this rough direction field to sketch an approximate solution curve for the IVP consisting of the DE and the initial condition y(0) = 1y(0)=1. a) dy/dx= x+y; c an integer satisfying −5≤c≤5
(b) dy/dx= x 2+y 2; c= 41 , c=1, c= 49 , c=4