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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
The solution of the differential equation $xdy-ydx=0$ represent family of
Solution
$xdy-ydx=0$
Divide by $dx$:
$x\frac{dy}{dx}-y=0$
So,
$x\frac{dy}{dx}=y$
$\frac{dy}{dx}=\frac{y}{x}$
Separate variables:
$\frac{dy}{y}=\frac{dx}{x}$
Integrate:
$\log|y|=\log|x|+C$
$\log\left|\frac{y}{x}\right|=C$
$\frac{y}{x}=k$
$y=kx$
This represents straight lines passing through origin.
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