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The solution of the differential equatio...

The solution of the differential equation `(dy)/(dx)=(xy)/(x^2+y^2)` is

A

`ay^2 =e^(x^2/y^2)`

B

`ay = e^x/y`

C

y = ++c

D

`y = +y^2 +c`

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The correct Answer is:
A
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MOTION-DIFFERENTIAL EQUATION -Exercise 2
  1. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

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  2. The general solution of the differential equation (dy)/(dx)+(1+cos2y)/...

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  3. The solution of the differential equation (dy)/(dx)=(xy)/(x^2+y^2) is

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  4. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

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  5. The solution of the differential equation, e^x(x +1)dx + (ye^y -xe^x)d...

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  6. The solution of y^5x+y-x dy/dx=0 is

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  7. The solution of the differential equation x^2(dy)/(dx)cos1/x-ysin1/x=-...

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  8. The solution of (dy)/(dx) + y tan x = sec x is

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  9. Solution of the differential equation (dy)/(dx)+ytanx=x^(n)cosx is

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

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

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

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

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

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

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

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

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

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

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

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