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Find the general solution of each of the following differential equations:
`(x-1)(dy)/(dx)=2x^(3)y`

Text Solution

Verified by Experts

The correct Answer is:
`log|y| =(2x^(3))/(3) +x^(2)+2x+2log|x-1| +C`

`(1)/(y)dy=(2x^(3))/((x-1))=2[x^(2)+x+1+(1)/((x-1))]["on dividing "x^(3) " by " (x-1)]`
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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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