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## Homework Statement

dy/dx=a^2/((x+y)^2)

where a is a constant

express answer in the form x=f(y)

## Homework Equations

## The Attempt at a Solution

let u=x+y

du/dx=1+dy/dx

du/dx=1+(a^2)/(u^2)

int(du/(((a^2)/(u^2))+1))=int(a^2 dx)

after integration substituting back in for u gives:

(-1/(2a))*arctan(a/((x+y)^2))=(a^2(x+c))/((x+y)^3)

i dont know how to rearrange into the form f(y)=x

please could you let me know if i have made mistakes and if not could u tell me how to rearrange arctan(a/(x+y)^2) into a form where x and y are separable

thanks for your time

dooogle