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**how do i solve these ????**

consider a river flowing with a speed v along positive X axis . a man starts swimming from a point on the bank of the river ( which is considered to be as origin ) . l is the width of the river and the velocity of man is always directed towards the point (0,l) . speed with which man can swim in still water is u . find the equation of the path that the man follows ?

i took a general point where man's direction of velocity makes an angle q with the vertical and i assume this point to be (x,y)

now i m just able to get 2 equation which are

1. x = (v-u)integeral(cosp)dt

2. y = (v-u)integeral(sinp)dt

now i have 4 variables (t,p,x,y) and have just 3 equations (which also dont seem to be solvable) ..... what do i do ?