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Find the general solution of each of the following differential equations:
`(dy)/(dx)=1-x+y-xy`

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The correct Answer is:
`log|x+y|-x - 1/2 x^(2)+c`
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (f) Long Answer Type Questions (I)
  1. Solve the following differential equations : (dy)/(dx)=(x+1)/(2-y)(y ...

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

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  3. Find the general solution of each of the following differential equati...

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

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

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  6. Solve the following differential equations : x sin y dy + (x e^(x) l...

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  7. Solve the following differential equations : (dy)/(dx)= (x e^(x) log...

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  8. Solve the following differential equation: cosxcosy(dy)/(dx)=-sinxsiny

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  9. Solve the following differential equation: tany\ dx+sec^2ytanx\ dy=0

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  10. sec^(2) tany dx + sec^(2)y tan x dy = dy =0

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  11. Solve the following differential equations : (1+ cos x ) dy= (1- cos...

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  12. Solve the following differential equation: cosx(1+cosy)dx-siny(1+sinx)...

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  13. Solve the following differential equation: \ cos e c\ xlogy(dy)/(dx)+\...

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  14. y log y dx - x dy=0

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  15. Solve the equation: e^xsqrt(1-y^2)dx+y/xdy=0

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  16. Solve the following initial value equations : x(1+y^(2))dx-y(1+x^(2)...

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  17. Solve the following differential equation: sqrt(1+x^2+y^2+x^2\ y^2)\ ...

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  18. Find the particular solution of the differential equation (1+y^(2))(1+...

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

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  20. Solve the following initial value equations : (1+e^(2x))dy+(1+y^(2))...

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