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The curve in which the slope of the tang...

The curve in which the slope of the tangent at any point equal the ratio of the abscissa to the ordinate of the point is

A

An ellipse

B

Parabola

C

Circle

D

Rectangular hyperbola

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The correct Answer is:
D
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AAKASH INSTITUTE-DIFFERENTIAL EQUATIONS-Assignment (Section - A) Competition Level Questions
  1. The number of solution of dy / dx = (y +1) / (x-1) when y(1) = 2 is

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

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  3. The integrating factor of differential equation dy/dx+y=(1+y)/x is

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

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  5. The general solution of (dy)/(dx) = 2x e^(x^(2)-y) is

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  6. The curve in which the slope of the tangent at any point equal the rat...

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  7. The solution of the equation (2y-1)dx - (2x + 3)dy = 0 is

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  8. Let f(x) = secx*f'(x), f(0) = 1, then f(pi/6) is equal to (i)1/sqrte ...

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  9. The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

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  10. The order & the degree of the differential equation whose general ...

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  11. The solution of the differential equation dy/dx=cos(x-y) is

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  12. (dy)/(dx) = (xy+y)/(xy+x), then the solution of differential equation ...

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  13. The differential equation ydy+xdx = dx represents

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  14. The integrating factor of cos^(2) x(dy)/(dx) +y = tan x is

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  15. The integrating factor of (dy/dx)+2y = xe^(4x) is

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  16. The integrating solution of differential equation (dy)/(dx) = e^((x^(2...

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  17. Family y = Ax + A^(3) of curves will correspond to a differential equa...

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  18. The solution of differential equation cosx. Sin ydx + sin x. cosydy = ...

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  19. The solution of diferential equation (dy)/(dx) = (1+y^(2))/(1+x^(2)) i...

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  20. The solution of differential equation ydx + (x+xy)dy = 0 is

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