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The slope of a curve at any point on it ...

The slope of a curve at any point on it is the reciprocal of twice of ordinate at that point. If the curve passes through (4,3) then the equation is

A

`y^(2) = x+4`

B

`y^(2) = x+7`

C

`y^(2) = x+5`

D

`y^(2) = x+9`

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The correct Answer is:
D
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - I
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  2. Equation of the curve passing through the point (4,3) and having slope...

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  3. The slope of a curve at any point on it is the reciprocal of twice of ...

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

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  5. The solution of (dy)/(dx) + y = e^(x) is

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  6. The solution of (dy)/(dx) = (y + x tan.(y)/(x))/(x) rArr sin.(y)/(x)=

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

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  8. The equation (dy)/(dx) = (x + 2y-3)/(2x+y-3) can be changed to homogen...

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  9. The substitution required to change (3y-7x+7) dx + (7y-3x+3)dy = 0 int...

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  10. The solution of (12x + 5y -9) dx + (dx + 2y-4) dy = 0 is

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  11. Solve the following differential equations. (dy)/(dx)=(-3x-2y+5)/(2x...

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  12. The I.F. of (dy)/(dx) - 3y Cot x = Sin x is

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  13. Integrating factor of (x + 2y^(3)) (dy)/(dx) = y^(2) is

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  14. The solution of x(dy)/(dx) +y = x Cos x is

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  15. The solution of x(dy)/(dx) + 2y = x^(2) log x is

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  16. The solution of (dy)/(dx) + y = e^(x) is

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  17. y+x^(2)=(dy)/(dx) has the solution

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  18. The solution of (1 + x^(2)) (dy)/(dx) + 2xy - 4x^(2) = 0 is

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  19. The solution of (x+y +1) (dy)/(dx) =1 is

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  20. The solution of x (dy)/(dx) + y log y = xy e^(x) is

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