Problem 2 (6 pts) Sketch the phasesllne portrait for the equation. Identify every stationary or equilibrium point as stable, unstable, or semistable. You do not have to find the solution. Sketch representative solution curves. o For what initial values 11(0) will 1105) + -5 as t + 00'? o For what initial values 13(0) will u(t) ) -l as t i 00? o For what initial vnlum u(0) will it\") -) 7 as t -l on? o For what initial values 11(0) will u(t) + -5 as l. i -00? I if tr(0) lies within the interval (5. 1] then what is the interval of denition of the mlution it\")? o For what initial values (0) will at!) blow up in nite time as 1 decreases? o For what initial values u(0) will it"(t) blow up in nite time as It decreases, but u(t) will not blow up? Are solution curves vertical translates of each other? Horizontal translates? Or neither? 1:: = (u + 5)*(u + l)'(7 u) d: u 3 Problem 1 ( 4 pts) Find the solution of the initial-value problem and give its interval of definition in terms of the initial value . dy 5x4 dx 4y3 y(-1) = y, for some y, in (-0o,0)