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The differential equation (dy)/(dx) = x+...

The differential equation `(dy)/(dx) = x+(1+y^(2))/(y(1+x^(2))` represents a family of

A

ellipses of constant eccentricity

B

ellipses of variable eccentricity

C

hyperbolas of constant eccentricity

D

hyperbolas of variable eccentricity

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The correct Answer is:
D
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DISHA PUBLICATION-DIFFERENTIAL EQUATIONS -Exercise-1 : Concept Builder (Topicwise)
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  7. The equation of the curve through the point ( 1,2) and whose slope is ...

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

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  9. Find the equation of the curve passing through the point (0,pi/4) w...

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  10. The solution of differential equation x^2=1 +(x/y)^(-1)(dy)/(dx)+((x...

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  11. General solution of differential equation of f(x) (dy)/(dx) = f^(2) (...

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  12. The female- male ratio of a village decreases continuously at the rate...

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  13. 8 The solution of differential equation (dy)/(dx)=y/x+(phi(y/x))/(phi'...

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  14. The solution of the primitive integral equation (x^2+y^2)dy=x ydx is y...

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  15. If phi(x) is a differentiable function, then the solution of the diffe...

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  16. The equation of the curve which is such that the portion of the axis o...

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  17. A curve passing through (2,3) and satisfying the differential equat...

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  18. Solve: (dy)/(dx) = (yf^(')(x)-y^(2))/(f(x))

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  19. The equation of the curve passing through the point (3a, a )(a gt 0) i...

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  20. A function y = f(x) satisfies the condition f'(x) sin x + f(x) cos x=...

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