- #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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