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Solve the following differential equatio...

Solve the following differential equations.
`(xy^(2)+x)dx+(yx^(2)+y)dy=0`

Text Solution

Verified by Experts

The correct Answer is:
`(1+x^(2))(1+y^(2))=k` when `k=c^(2)`.
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIAL EQUATIONS -EXERCISE- 8(b)
  1. Find the general solution of sqrt(1-x^(2))dy +sqrt(1-y^(2))dx=0.

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  2. Find the general solution of (dy)/(dx)=(2y)/(x).

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

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  4. Solve the following differential equations. (dy)/(dx)=e^(y-k)

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  5. Solve the following differential equations. (e^(x)+1)y dy +(y+1) dx =...

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  6. Solve the following differential equations. (dy)/(dx)=e^(x-y)+x^(2)e...

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  7. Solve the following differential equations. tan y dx +tan x dy=0

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  8. Solve the following differential equations. sqrt(1+x^(2))dx +sqrt(1+y...

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  9. Solve the following differential equations. y-x(dy)/(dx)=5(y^(2)+(dy...

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  10. Solve the following differential equations. (dy)/(dx)=(xy+y)/(xy+x)

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  11. Solve the following differential equations. (dy)/(dx)=(1+y^(2))/((1+...

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  12. Solve the following differential equations. (dy)/(dx)+x^(2)=x^(2)e^(...

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  13. Solve the following differential equations. (xy^(2)+x)dx+(yx^(2)+y)d...

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  14. Solve the following differential equations. (dy)/(dx)=2y tan h x

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  15. Solve the following differential equations. sin^(-1)((dy)/(dx))=x+y

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

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  17. Solve the following differential equations. (dy)/(dx)=tan^(2)(x+y)

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