(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve the DE subject to y(1)=0. Forconvenience let k=v_r/v_s.

First let me apologize for the way it is written but I don't know how to use software like other on other posts I see.

2. Relevant equations

(dy/dx)= (v_s*y - v_r*sqrt(x^2+y^2)) / (v_s*x)

this may be more visual

dy v_s*y - v_r*sqrt(x^2+y2)

--=--------------------------

dx v_s*x

3. The attempt at a solution

I have about ten steps where I try to solve this problem. It is from the textbook :A First Course in Differential Equations" by Dennis Zill in section 3.2 #27. I think it is a seperable equation but I cannot get it to a form where I can solve the intial value problem. It is a horrible feeling to be stuck on the algebra of all things. Help is appreiciated. I need to learn how to do this so I can pass the midterm.

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# First Oder Differential Equations

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