Find the GS of (x-ye)y' = 1 Find the GS of +Inx) y' ++Iny)=0 Find the GS of xy + y y' = 25 x + 1 The inside of a container is an ellipsoid (as shown) () + ( ) + () : = 1 Three holes are made (one at the south pole, and one at the equator, for leaking, one Z at the north pole for air intake) to enable the same draining constant k for the leaking holes. The draining process follows the IVP A(h)dh = -kh dt |h(t = 0) = ho introduced by Torricelli in 1643. In the DE, A(h) is the cross-section area at the height (from the leaking point) h. Derive the formula for the time needed to empty a tank of initial liquid height ho = . Again, the 3c height is measured from the bottom hole.