MAT244-2013S > Ch 1--2

Bonus problem of the week 1:

(1/1)

Victor Ivrii:
Submitting (first) the correct solution of the "Problem of the Week" (I will try to post them each week) you get karma which translates to bonus marks.

* (a) Find the general solution of

x y'= 2 y(4-y)
\label{eq-1}

* (b) Find solution of (\ref{eq-1}) (as $x>0$) satisfying initial condition $y(1)=1$;
* (c) Using computer f.e. http://math.rice.edu/~dfield/dfpp.html solve (a), (b) graphically: output will two pictures: each containing a field of directions and several integral lines in (a), and one particular line in (b).