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Solution of the differential equation xd...

Solution of the differential equation `xdy-ydx=0` represents

A

xy=c

B

y =cx

C

x+y=c

D

x-y=c

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Verified by Experts

The correct Answer is:
B
xdy -ydx=0
` Rightarrow xdy= xdx`
` Rightarrow (dy)/y= (dx)/x`
` Rightarrow log y =log x +log c`
` Rightarrow log y -log x = log c`
` Rightarrow log(y/x) =log c`
` Rightarrow y/x = c Rightarrow y=cx`
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NDA PREVIOUS YEARS-DIFFERENTIAL EQUATION-MCQs
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  2. The differential equation of minimum order by eliminting the arbitral...

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  3. The solution of the differential (dy)/(dx) = (y phi '(x) -y^(2))/(ph...

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  4. Solution of the differential equation xdy-ydx=0 represents

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  5. Which one of the following differential equations has a periodic solut...

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  6. The order and degrree of the differential equation y^(2) =4a (x-a) , ...

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  7. what is the solution of (1 +2x) dy-(1 -2y) dx=0 ?

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  8. what are the order and degree, respectively , of the differential equa...

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  9. The differential equation of the family of cruves y = p cos (ax) + q s...

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  10. The equation of the curve passing through the point (-1,-2) which sati...

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  11. what is the order of the differential equation whpse solution is y = ...

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  12. what is the solution of the differential equationln ((dy)/(dx)) =ax +b...

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  13. If u = e^(ax) sin bx and v = e^(ax)cos bx, then what is

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  14. If y = sin (In x), then which one of thefollowing is correct?

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  15. what is the solution of the differential equation (dx)/(dy) = ( x +y+...

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  16. The solution of the differential equation (dy)/(dx) = cos (y -x) +1...

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  17. If y= a cos 2x + b sin 2x , then

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  18. The differential equation of the system of circles touching the y-axis...

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  19. Consider the following in respect of the differential equation : (d...

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  20. what is the general solution of th differential equation (dy)/(dx) ...

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