I believe a) to be (ii), but feel free to correct me. I need any help you can provide for b-f. Thank you!
2.For the direction field plotted on the right
a Which of the following differential equations
best represents the slope field at the right?
i)y=0.15yy -5(y-2
iiy=-0.15yy-5y-2 iii y = 0.15(y =5(y =2 (iv) y'= -0.15y2(y - 5)(y - 2)
v)y=-0.15y(y +5(y+2
b) Label the equilibrium (constant) solutions as stable, unstable or semi-stable. cIf y0)=2.5,estimate y(2. d) If y0)= 1.what will be the behavior of the solution as t oo?
e)If y(0) =2, what will be the behavior of the solution as t o? f)If y(0) = 3, what will be the behavior of the solution as t co?
3. For the ODE y'=-y(y-3)(y-8)2, a) determine all the equilibrium (constant) solutions and classify them as stable, unstable or semi-stable b) For what values of y is y increasing?
