- #1

Mastur

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## Homework Statement

[itex]x^2y\frac{d^2y}{dx^2} + (x\frac{dy}{dx} - y)^2 = 0[/itex]

[itex]y^2=C_{1}x^2+C_{2}x[/itex]

[itex]y=2;y'=1 when x=1[/itex]

## Homework Equations

__Can someone give me the answer? Just the answer, the particular solution. Please?__I'm having really hard time calculating for it. This is one of the seatworks given to us, and this is the remaining problem that I cannot answer.

## The Attempt at a Solution

differentiating the second equation

I'm stuck right there. I substituted the y' and y'' to the first equation but the answer seems not equal to zero. Is my differentiation right?[itex]y'=\frac{2C_{1}x+C_{2}}{2y}[/itex]

[itex]y''=\frac{4C_{1}y-2C_{1}^2x^2+C_{2}^2+3C_{1}C_{2}x}{4y^2}[/itex]

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