I am unsure how to attempt this question, Please can someone help???

Find the specific solution of the first order ODE

dy/dx = (y^2)/(xy - x^2)

given that y=1 when x=1

Thanks

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- May 15th 2012, 08:10 AMaab300First Order differential equation
I am unsure how to attempt this question, Please can someone help???

Find the specific solution of the first order ODE

dy/dx = (y^2)/(xy - x^2)

given that y=1 when x=1

Thanks - May 15th 2012, 10:37 AMHallsofIvyRe: First Order differential equation
Since all terms in the numerator and denominator have the same degree (2) this is a "homogeneous equation".

Try the substitution v= y/x, so y= xv, to get a differential equation for v as a function of x.