Consider the system dx/dt = x(2-x-y) dy/dt = y(y-x2) a. Determine and sketch the nullclines. b. sketch the phase portrait and briefly describe the behavior of solutions.

Use t = 4x + 1 to write the parametric equations that can represent y = 12x + 5. %| )x =;y = 31 – 2 x = 4t – 1; y = 481 + 7 ) x = y = 3t + 2 ) x =; y = 3t + 2 4

y = (y0 + y1x2)1/2 a. decide whether the given equation is intrinsically linear.b. ifthe equation is intrinsically linear, fnd the transformation of y and/or x that linearizes the equation