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The equation of the curve which is such ...

The equation of the curve which is such that the portion of the axis of `x` cut off between the origin and tangent at any point is proportional to the ordinate of that point is (a) `( b ) (c) x=y(a-blogx)( d )` (e) (f) `( g ) (h)logx=b (i) y^(( j )2( k ))( l )+a (m)` (n) (o) `( p ) (q) (r) x^(( s )2( t ))( u )=y(a-blogy)( v )` (w) (d) None of these

A

`x=y(a-blogx)`

B

`logx=by^(2)+a`

C

`x=y(a-blogy)`

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. The degree and order of the differential equation of all parabolas who...

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  2. The differential equation of all parabolas whose axis are parallel t...

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  3. The equation of the curve which is such that the portion of the axi...

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  4. The solution of (dy)/(dx)=(a x+h)/(b y+k) represent a parabola when

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  5. The solution of the differential equation y(dy)/(dx)=x-1 satisfying y(...

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  6. The differential equation of the family of circles of fixed radius r a...

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  7. The solution of (dv)/(dt)+k/m v=-g is

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  8. ydx-xdy+3x^(2)y^(2)e^(x^(3))dx=0

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  9. The curve for which the length of the normal is equal to the length ...

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  10. The family of curves represented by (dy)/(dx) = (x^(2)+x+1)/(y^(2)+y+1...

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  11. The form of the differential equation of the central conics, is

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  12. The solution of the differential eqaution (x^(2)-yx^(2))(dy)/(dx)+y^...

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  13. The solution of differential equation (dy)/(dx)+(2xy)/(1+x^(2))=(1)/(1...

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  14. The equation of the curve through the point (1,0) which satisfies the ...

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  15. The differential equation of family of curves x^(2)+y^(2)-2ax=0, is

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  16. The solution of the differential equation (dy)/(dx)-(tany)/(x)=(tany...

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  17. The solution of (dy)/(dx)+2y tanx=sinx, is

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  18. Solve the each of the following differential equation: (dy)/(dx)+y/...

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  19. Solve the differential equation: (1+y^2) + ( x - e^(tan^-1 y) ) dy/dx...

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  20. Solution of x(dy)/(dx)+y=xe^(x), is

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