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Find the general solution of each of the following differential equations:
`e^(y)(1+x^(2))dy-(x)/(y)dx =0`

Text Solution

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The correct Answer is:
`(y-1)e^(y)=(1)/(2)log(1+x^(2))+C`
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RS AGGARWAL-DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE-Exercise 19B
  1. Find the general solution of each of the following differential equat...

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  2. Find the general solution of each of the following differential equat...

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

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  4. Find the general solution of each of the following differential equat...

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  5. Find the general solution of each of the following differential equat...

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  6. Find the general solution of each of the following differential equat...

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  8. Find the general solution of each of the following differential equat...

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  9. Find the general solution of each of the following differential equat...

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  10. Find the general solution of each of the following differential equat...

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  11. Find the general solution of each of the following differential equat...

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  12. Find the general solution of each of the following differential equat...

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  13. Find the general solution of each of the following differential equat...

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  14. Find the general solution of each of the following differential equat...

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  15. Find the general solution of each of the following differential equat...

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

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  17. Find the general solution of each of the following differential equat...

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  18. Find the general solution of each of the following differential equat...

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  19. Find the general solution of each of the following differential equat...

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  20. Find the general solution of each of the following differential equat...

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