Problem 1 (4 pts) Find the solution of the initialvalue problem and give its interval of definition in terms of the initial value. d_y_ 5):4 y(1)=y[ for some y, in (oo,0) . dx 4y3 Problem 2 (6 pts) Sketch the phase-line 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. 0 For what. initial values 11(0) will \"(1, ) > 5 as I, ) 00'? o For what initial values 11(0) will 11(t) > 1 as t 1 00? o For what initial values 11(0 ) will 11(t) ) 7 as t > 00'? o For what. initial values 11(0 ) will 11(t) > 5 as l > oo? o If 11(0) lies within the interval (5 a, 1) then what is the interval of definition of the solution \"(t)? 0 F01 what initial values 101( ) will 11(t) blow up in nite time as 1 decreases? o For what initial values 11(0) will u 't( ) blow up in finite time as t decreases, but 11(t) will not blow up! Are solution curves vertical translates of each other? Horizontal translates? Or neither? _ (u+5)2(u+1)3(7u) dt _ 113