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

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

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SHARAM PUBLICATION-DIFFERENTIAL EQUATION-EXAMPLE
  1. Find the factor that should be multiplied with the differential equati...

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

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

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

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

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

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

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  8. Form the defferentialequation by eliminating the arbitrary constants i...

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  9. Write the particular solution of (dy)/(dx)=8x, given that y=2, when x...

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  10. Form the differential equation , whose solution is y=e^(x+a)

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  11. Find the solution of (d^2y)/(dx^2) =3x^2 + 1 given that y = 2 and (dy)...

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  12. Solve (dy)/(dx) = cos x, y(0) = 1

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  13. Write the integrating factor of the differential equation (x - lny)(dy...

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  14. Solve (dy)/(dx)=(y^2)/(xy-x^2).

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

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  16. Find the solution of the following differential equations: x dy-ydx=sq...

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  17. Solve the following differential equation:- (dy)/(dx) =(3x - 7y + 7)/(...

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  18. Find the solution of the following differential equations: dy/dx=1/2(y...

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  19. Solve the following differential equation:-(d^2y)/(dx^2) = 1/(x(x+1) )...

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  20. Solve the following differential equation:- x(dy)/(dx) + y = y^2 lnx

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