A boater rows across a straight river of constant width w, always heading (i., pointing the front of the boat) toward the position on the bank...

A boater rows across a straight river of constant width w, always heading (i.e., pointing the front of the boat) toward the position on the bank directly opposite the starting point. If the river flows with uniform speed v and if the speed with which the boater can row is also v, find the equation of the path of the boat. How far downstream does the boater finally land? [Hint: if x is the cross-stream position of the boat and y is its downstream position, find an expression for dy/dx. Then solve for y(x).]