The first image contained question 2 which I need help with. The second image containing question 8 is solved. I provided it just as an example. 8. Find the critical points and phase portrait of the given autonomous first-orderdifferential equation. Classify each critical point as asymptotically stable,unstable, or semi-stable. By hand, sketch typical solution curves in the region inthe xy-plane determined by the graphs of the equilibrium solutions.dy - y' (4- y')dry = 2 attractor (stable), y = 0 saddle (semi-stable), y = - 2 repeller (unstable)2 Given the autonomous first-order differential equation = y° (1-y²)dy -y'2.a) Find the critical points and phase portrait of the differential equation.b) Classify each critical point as asymptotically stable, unstable, or semi-stable.c) By hand, sketch typical solution curves in the region in the xy-planedetermined by the graphs of the equilibrium solutions.

Name: The first image contained question 2 which I need help with. The secon
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: The first image contained question 2 which I need help with. The second image containing question 8 is solved. I provided it just as an example. 8. Find the critical points and phase portrait of the given autonomous first-orderdifferential equation.

Consider the given differential equation:For part (a) it is required to determine the critical points and phase portrait of the given differential equation.Now draw the phase portrait.For part (b) it is required to classify the points as stable, unstable or semi stable.For part (c) it is required to sketch the typical solution curve.Now sketch the solution. At y=1,-1,0 the function is undefined.