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Solve the differential equation : x(dy...

Solve the differential equation :
`x(dy)/(dx)+y-x+xycotx=0`, `x ne 0`.

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The correct Answer is:
`xy sin x = sin x - x cos x +c`.
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (i) Long Answer Type Questions (I)
  1. x (dy)/(dx) + y = x logx

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  2. Solve the differential equation x\ dy/dx - y = log |x|, given that y(1...

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  3. Solve the differential equation : x(dy)/(dx)+y-x+xycotx=0, x ne 0.

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  4. Solver the following differential equation : (1) x(dy)/(dx) + 2y =x^...

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  5. find the solution of the following differential equation x logx (dy)/...

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  6. Solve: (xlogx)(dy)/(dx)+y=2/xlogx

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  7. Solving the following differentia equation: "s i n x"("dy")/("dx")+...

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  8. Find the general solution of the following differential equations (x...

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  9. Solve the following differential equations : (dy)/(dx)-(2x)/(1+x^(2...

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  10. Find the general solution of the following differential equations (1...

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  11. Solve: (1+x^2)(dy)/(dx)+2xy=cosx

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  12. (1-x^2) dy/dx-xy=1

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  13. y dx+(x-y^2)dy=0

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  14. y dx - (x + 2y^(2)) dy = 0

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  15. Solve the differential equation: (1+x^2) dy/dx + y = tan^-1 x

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  16. Solve the following differential equations : (dy)/(dx)-y/x=((x-1)/(...

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  17. Solve the following initial value problems : (dy)/(dx)=2x+y, given t...

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  18. Solve the following initial value problems : x(dy)/(dx)+y=x^(3),y(2)...

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  19. Solve the following initial value problems : x(dy)/(dx)+2y=x^(2),y(1...

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  20. Solve the following initial value problems : x (dy)/(dx)+2y=x^(2)(x ...

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