The general solution of the differential equation `(ydx-xdy)/(y)=0` is :
The general solution of the differential equation `(ydx-xdy)/(y)=0` is :
A. `xy=C`
B. `x=Cy^(2)`
C. `y=Cx`
D. `y=Cx^(2)`
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Given differential equation is `(ydx-xdy)/(y)=0`
`implies ydx-xdy=0 implies (1)/(x)dx-(1)/(y)dy=0`
On integration, `log|x|-log|y|=logk`
`implies log|(x)/(y)|=logkimplies(x)/(y)=k`
` y=(1)/k)ximpliesy=Cx` (Let `(1)/(k)=C`)
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