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Find the particular solution of the foll...

Find the particular solution of the following differential equation : `(dy)/(dx) + (1 + y^2)/(1 + x^2) = 0, y(-1) = -sqrt 3`

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SHARAM PUBLICATION-DIFFERENTIAL EQUATION-EXAMPLE
  1. Solve (dy)/(dx) = e^-x.

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  2. Find the differential equation whose general solution is ax^(2) + by =...

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  3. Find the particular solution of the following differential equation : ...

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  4. Find an integrating factor of the differential equation (x + tan y ) d...

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  5. Write integrating factor of (1+y^2)dx+xdy=tan^-1ydy

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  6. Reduce the following to a linear differential equation x(dy)/(dx)+y=...

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  7. Write the order and degree of the following differential equation d^(2...

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  8. Find the differential equation whose general solution is y = at + be^t

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  9. Solve dy/dx = 4y.

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  10. Write the differential equation of all non-horizontal lines in a plane...

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  11. Find the integrating factor for the solution of the differential equat...

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  12. Find the differential equation whose general solution is y = a cos x +...

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  13. Write the order and degree of the differential equation ((d^(2)y)/(d...

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  14. Obtain the differential equation whose primitive is y= Ae^(2x)+Be^(-2x...

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  15. Find the factor that should be multiplied with the differential equati...

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  16. Find the differential equation whose general solutionis ax^2 + by = 2

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  17. Solve: (1+ x^2) dy = (1+ y^2) dx

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  18. Find integrating factor of (x-"In"y)dy/dx=-y"In"y.

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  19. Write the integrating factor of (dy)/(dx)+y sec x=tan x.

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  20. Form the differential equation whose general solution is y= ae^(x)+bx

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