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Solution of the equation (1 - x^2) dy + ...

Solution of the equation `(1 - x^2) dy + xy dx = xy^2dx` is

A

`(y-1)^2(1-x^2)` =0

B

`(y-1)^2(1-x^2) =c^2y^2`

C

`(y-1)^2(1+x^2) =c^2y^2`

D

none of these

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The correct Answer is:
B
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MOTION-DIFFERENTIAL EQUATION -Exercise 2
  1. Solution of the differential equation (dy)/(dx)+ytanx=x^(n)cosx is

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  2. (dy)/(dx)+(3x^2)/(1+x^3)y=(sin^2x)/(1+x^3)

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  3. Solution of the equation (1 - x^2) dy + xy dx = xy^2dx is

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  4. Solve the differential equation (y^2+x^2)dx=(x^2+xy)dy

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  5. Find the particular solution of (cos x – x sin x +y^2)dx + 2xy dy = 0 ...

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  6. Orthogonal trajectories of family of the curve x^(2/3)+y^2/3=a^((2/3))...

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

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  8. A curve C passes through origin and has the property that at each poin...

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  9. Water is drained from a vertical cylindrical tank by opening a valv...

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  10. If y=x/(In|cx|) (where c is an arbitrary constant) is the general solu...

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  11. Number of straight lines which satisfy the differential equation (dy)/...

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  12. If f''(x)+f'(x)+f^(2)(x)=x^(2) be the differentiable equation of a cur...

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  13. If y= e^((k+1)x) is a solution of differential equation (d^2y)/(dx^2) ...

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  14. The differential equation (d^2y)/dx^2+x dy/dx+siny+x^2=0, is which of...

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  15. Let y = (A + Bx) e^(3x) is a solution of the differential equation(d^2...

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  16. y=a e^(-1/x)+b is a solution of (dy)/(dx)=y/(x^2), then (a) ( b ...

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  17. Which one of the following is homogeneous function ?

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  18. The graph of the function y = f(x) passing through the point (0, 1) an...

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  19. (x^2y^3+xy)dy=dx

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  20. The equation of the curve passing through (3,4) and satisfying the dif...

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