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Prove that \( x^2-y^2 = c ( x^2-y^2 )^2 \) is the general solution of differential equation \(( x^3-3xy^2) dx = (y^3-3x^2y) dx\).
cbse
class12
modelpaper
2012
sec-c
q26
math
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Jan 2, 2013
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thanvigandhi_1
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Dec 29, 2012
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Jan 22, 2013
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Find the particular solution of the differential equation .$ (xdy-ydx)y. \sin \bigg(\large\frac{y}{x} \bigg) =$$ (ydx-xdy) x \cos \bigg(\large \frac{y}{x} \bigg)$ given that \( y= \pi, \: when \: x=3\)
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Jan 21, 2013
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Find the particular solution of the differential equation $(xdy-ydx)y.\sin \bigg(\large\frac{y}{x} \bigg)$$=(ydx+xdy)x \cos\large\frac{y}{x},$ given that \( y=\pi\) when $x = 3$.
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Feb 3, 2013
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cbse
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Solve the following differential equation : $\large\frac{dy}{dx}$$+y\cot\: x = x^2\cot x+2x $
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Feb 11, 2013
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Solve the differential equation $ y.e^{\large\frac{x}{y}} dx=(x.e^{\large\frac{x}{y}}+y^2)dy ; y \neq 0$
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Feb 7, 2013
by
thanvigandhi_1
cbse
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2012
sec-c
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Solve the differential equation : $(x+y)dy + (x-y) dx=0$
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Feb 2, 2013
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cbse
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