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Find the particular solution of the differential equation $\large \frac{dy}{dx} - \frac{y}{x} $$+ cosec \bigg( \large\frac{y}{x} \bigg) = 0 $
cbse
class12
modelpaper
2012
sec-b
q18
math
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asked
Dec 24, 2012
by
thanvigandhi_1
edited
Jul 25, 2013
by
sreemathi.v
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Find the particular solution, satisfying the given condition, for the following differential equation : $\large \frac{dy}{dx}-\frac{y}{x}$$+cosec \bigg( \large\frac{y}{x} \bigg)$$=0; y=0\: when \: x = 1$
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Feb 17, 2013
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cbse
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2012
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0
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Find the particular solution, satisfying the given condition for the differential equation $ \large\frac{dy}{dx} - \frac{y}{x} +$$ cosec \bigg(\large \frac{y}{x} \bigg)$$ = 0, y = 0\: when \: x = 1$
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Jan 3, 2013
by
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cbse
class12
modelpaper
2012
sec-b
q19
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0
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answers
Show that the differential equation $ 2y.e^{\large\frac{x}{y}}dx+(y-2xe^{\large\frac{x}{y}})dy=0. $ is homogeneous and find its particular solution given that x = 0 when y = 1.
asked
Feb 4, 2013
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thanvigandhi_1
cbse
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modelpaper
2012
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0
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Find the particular solution of the differential equation : \( \large\frac{dy}{dx}+y\cot x=2x+x^2\cot x, x \neq 0\) given that y = 0 when \( x=\large\frac{\pi}{2}.\)
asked
Feb 4, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
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sec-b
q18
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Find the particular solution of the following differential equation satisfying the given condition : $ \bigg[ x\: sin^2 \bigg(\large\frac{y}{x} \bigg)$$ - y \bigg] dx+x\: dy=0; y(1)=\large\frac{\pi}{4} $
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Jan 31, 2013
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2012
sec-b
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0
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Verify that \( y = e^x.\cos\: x\) is a solution of the differential equation : $\large \frac{d^2y}{dx^2}$$-2\large\frac{dy}{dx}$$+2y=0. $
asked
Jan 10, 2013
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cbse
class12
modelpaper
2012
sec-b
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Show that the differential equation : $ x\: cos \bigg(\large \frac{y}{x} \bigg)\large \frac{dy}{dx}=$$y\cos \bigg(\large \frac{y}{x} \bigg)$$ + x $ is homogeneous and solve it.
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Jan 15, 2013
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