Determine equation of path of boat


The boater rows across the straight river of constant width w, always heading (that is, pointing front of boat) toward position on bank directly opposite starting point. If river flows with uniform speed v and if speed with which boater can row is also v, determine equation of path of boat. How far downstream boater finally lands? If x is cross- stream position of boat and y is its downstream position, determine the expression for dy/dx. Solve for y(x)).

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Mathematics: Determine equation of path of boat
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