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The differential equation of the curve f...

The differential equation of the curve for which the initial ordinate of any tangent is equal to the corresponding subnormal (a) is linear (b) is homogeneous of second degree (c) has separable variables (d) is of second order

A

homogeeous and linear

B

homogeneous only

C

in variable separable form

D

linear only

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. The function f(theta)=d/(dtheta)int0^theta(dx)/(1-costhetacosx) satisf...

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

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

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

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

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

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  7. The order of the differential equation whose general solution is gi...

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  8. The equation of the curve satisfying the differential equation y^2 (x^...

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  9. A differential equation associated to the primitive y=a+b e^(5x)+c ...

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  10. Write the order of the differential equation associated with the pr...

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  11. Obtain the differential equation of the family of circles passing thro...

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  12. The solution of the differential equation y(1)y(3)=3y(2)^(2), is

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  13. The degree and order of the differential equation of all parabolas who...

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

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

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

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

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

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

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

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