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Solve the differential equation (y^2+x^2...

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

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MOTION-DIFFERENTIAL EQUATION -Exercise 2
  1. (dy)/(dx)+(3x^2)/(1+x^3)y=(sin^2x)/(1+x^3)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Which one of the following is homogeneous function ?

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

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

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

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  20. The orthogonal trajectories of the system of curves y^2 =cx^3 are

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