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

Text Solution

Verified by Experts

The correct Answer is:
`log|1+y|=x+(x^(2))/(2)+C`

`(dy)/(dx) = (1+x)+y(1+x)=(1+x)(1+y) rArr int (dy)/((1+y))=int (1+x)dx +C.`
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RS AGGARWAL-DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE-Exercise 19A
  1. Find the general solution of each of the following differential equati...

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

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

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

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

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

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

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

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

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

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  11. Find the general solution of the differential equations sec^2xtany dx...

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

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  13. For each of the folowing differential equations, find a particular so...

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  14. For each of the folowing differential equations, find a particular so...

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  15. For each of the folowing differential equations, find a particular so...

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  16. For each of the folowing differential equations, find a particular so...

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