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Show that the general solution of all the differential equation `dy/dx+(y^2+y+1)/(x^2+x+1)=0` is given by `(x+y+1)=c(1-x-y-2xy)`.

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CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Obtain the differentiaal equation by eliminating the arbitary constant...

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  2. Form the differential equation of (i)all circles which pass through th...

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  3. Show that the general solution of all the differential equation dy/dx+...

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  4. Obtain the differential equation by eliminating the arbitrary constant...

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  5. Obtain the differential equation by eliminating the arbitrary constant...

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  6. Find the differential equation of the family of circles having their c...

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  7. In each of the following examples verify that its given expression is ...

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  8. In each of the following examples verify that its given expression is ...

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  9. In each of the following examples,verify that the given function is a ...

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  10. In each of the following examples,verify that the given function is a ...

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  11. In each of the following examples,verify that the given function is a ...

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  12. In each of the following examples,verify that the given function is ...

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  13. In each of the following examples,verify that the given function is a ...

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  14. Solve the following differential equations.(i)log(dy/dx)=2x+3y

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

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  16. Solve the following differential equation (1)dy/dx=(1+y^2)/(1+x^2)

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  17. Solve the following differential equation (2)log(dy/dx)=2x+3y

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  18. Solve the following differential equation (3)y-x dy/dx=0

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  19. Solve the following differential equation (4)sec^2xtany dx+sec^2 y tan...

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  20. Solve the following differential equation (5)(x+1)dy/dx-1=2e^(-y),when...

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