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If (dy)/(dx)+(1+y^2)/(1+x^2)=0, show tha...

If `(dy)/(dx)+(1+y^2)/(1+x^2)=0`, show that ` x+y=A(1-xy)`.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. If (dy)/(dx)+(1+y^2)/(1+x^2)=0, show that x+y=A(1-xy).

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  2. Determine the order and the degree of each of the following equations....

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  3. Determine the order and the degree of each of the following equations....

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  4. Determine the order and the degree of each of the following equations....

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  5. Determine the order and the degree of each of the following equations....

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  6. Determine the order and the degree of each of the following equations....

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  7. Determine the order and the degree of each of the following equations....

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  8. Determine the order and the degree of each of the following equations....

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  9. Determine the order and the degree of each of the following equations....

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  10. Determine the order and the degree of each of the following equations....

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  11. Determine the order and the degree of each of the following equations....

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  12. Determine the order and the degree of each of the following equations....

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  13. Determine the order and the degree of each of the following equations....

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  14. In each of the following cases, from the differential equation by elim...

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  15. In each of the following cases, from the differential equation by elim...

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  16. In each of the following cases, from the differential equation by elim...

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  17. In each of the following cases, from the differential equation by elim...

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  18. In each of the following cases, from the differential equation by elim...

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  19. c(y+c)^2=x^3, c is an arbitrary constant.

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  20. y^2-2ay+x^2=a^2, a is an arbitrary constant.

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  21. In each of the following cases, from the differential equation by elim...

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