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Find the particular solution of the diff...

Find the particular solution of the differential equation `(dx)/(dy) + y cotx = 2x + x^2 cotx (x ne 0)` given that y = 0 when `x = pi/2`

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The correct Answer is:
`y = x^(2) - (pi^2)/( 4 sin x)`
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BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-ASSIGNMENT (SECTION VI)
  1. Solve the following differential equations (dy)/( dx) +2 y = sin 5x

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

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

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  4. Solve the following differential equations (1+ x^2) (dy)/( dx) + y=e

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  5. Solve the following differential equations (dy)/( dx) + y = cos x - ...

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  6. Solve the following differential equations x dy - (y+ 2x^2) dx =0

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  7. Solve the following differential equations (y + 3x^2) (dx)/( dy) = x

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  8. Solve the following differential equations x dy + ( y - x^3) dx =0

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  9. Solve the following differential equations (dy)/( dx ) + (4x)/( x^2 ...

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  10. Solve the following differential equations (dy)/( dx) + y cot x = - ...

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  11. Solve the following differential equations cos x ( dy)/( dx) = y sin...

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  12. Solve the following differential equations (x+2y^3) dy/dx = y

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  13. Solve the following differential equations y dx + ( x-y^2) dy =0

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  14. Solve the following differential equations (tan^(-1) y -x) dy = (1+ ...

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  15. Solve the following differential equations dy/dx = x^2y + y

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  16. Find the particular solution of following differential equations x(d...

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  17. Find the particular solution of following differential equations xy^...

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  18. Find the particular solution of the differential equation (dx)/(dy) + ...

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  19. Find the particular solution of following differential equations (dy...

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  20. Find the particular solution of following differential equations (dy...

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