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1)Plot the slope field for y'(t)=y^2 - y at each of the 25 points on the grid where x and y are 0, +/- 0.5 , +/- 1 (b) sketch the particular solution...
1)Plot the slope field for y'(t)=y^2 - y at each of the 25 points on the grid where x and y are 0, +/- 0.5 , +/- 1
(b) sketch the particular solution with y(-1)=-0.5
(c) What is the long term behavior of this solution ?_________________
2)Plot the slope field for y'(t)=1-2y at each of the 25 points on the grid where x and y are 0, +/- 0.5 , +/- 1
(b) sketch the particular solution with y(-0.5)=1
(c) What is the long term behavior of this solution ?_________________
3)Plot the slope field for y'(t)=y+t at each of the 25 points on the grid where x and y are 0, +/- 0.5 , +/- 1
(b) sketch the particular solution with y(-0.5)=0.5
(c) What is the long term behavior of this solution ?_________________
