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The solution of the differential equatio...

The solution of the differential equation :
`y dx +(x+x^2y)dy=0` is :

A

1/xy + log y = c

B

1/xy + log y = c

C

1/xy = c

D

log y = cx

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. The degree and order of the differential equation of the family of all...

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  3. The solution of the differential equation : y dx +(x+x^2y)dy=0 is :

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  4. The differential equation for the family of curves x^2+y^2-2ay=0, wher...

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  5. The differential equation representing the family of curves y^2=2c(x+s...

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  6. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cos x,y(0) =1 then y (pi/2) e...

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  7. The solution of 2xy dy/dx =1+y^(2) is

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  8. If c is a parameter, then the differential equation whose solution is ...

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  9. Solution of x^(2)+y^(2) dy/dx = 4 is

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  10. The family of curves in which the subtangent at any point to any curve...

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  11. The solution of x dx + y dy = x^(2)y dy - xy^(2) dx is

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  12. The solution of dy/dx = (y/x)^(1/3) is

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  13. Order of the differential equation of the family of all concentric cir...

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  14. Solution of dy/dx = (x log x^(2) + x)/(sin y + y cos y) is

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  15. dx + dy = (x+y) (dx-dy) implies log (x+y) =

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  16. The equation of a curve passing through the origin and satisfying the...

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  17. The general solution of e^x cos y dx - e^x sin y dy = 0 is :

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  18. The differential equation y(dy)/(dx)+x=c represents

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  19. The general solution of ydx-xdy-3x^(2)y^(2)e^(x^(3)) dx =0 is

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  20. tan^(-1)x+tan^(-1)y = c is the general solution of the differential eq...

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