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Differential equation of all parabolas having their axes of symmetry coincident with the axis of X is :

A

`y(d^(2)y)/(dx^(2))+((dy)/(dx^(2)))=0`

B

`x(d^(2)y)/(dx^(2))+((dy)/(dx^(2)))=0`

C

`y(d^(2)y)/(dx^(2))+(dy)/(dx^(2))=0`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
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  2. Find the curve for which the length of normal is equal to the radius v...

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  3. Differential equation of all parabolas having their axes of symmetry c...

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  4. The equation of a curve passing through (2,7/2) and having gradient...

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  5. The equation of the curves through the point (1, 0) and whose slope...

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  6. about to only mathematics

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  7. A particle moves in a straight line with a velocity given by ( dx) /(...

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  8. If (dy)/(dx)=e^(-2 y)and y=0 "when" x=5 then fiind the value of x when...

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  9. Find the equation of a curve passing through origin and satisfying the...

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  10. The slope of the tangent at (x , y) to a curve passing through (1,p...

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  11. If phi (x)=phi '(x) and phi(1)=2, then phi(3) equals

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  12. about to only mathematics

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  13. The curve for which the slope of the tangent at any point is equal to ...

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  14. The curve in the first quadrant for which the normal at any point (...

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  15. The function f(theta)=d/(dtheta)int0^theta(dx)/(1-costhetacosx) satisf...

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  16. The differential equation of all ellipses centred at the origin is

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  17. The differential equation of the curve for which the initial ordina...

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  18. The equation of the curve whose subnormal is constant is

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  19. The degree of the differential equation y(3)^(2//3)+2+3y(2)+y(1)=0, ...

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  20. The degree of the differential equation satisfying sqrt(1-x^2)+sqrt...

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