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Solve sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(...

Solve `sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(dy)/(dx)=0`

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Verified by Experts

The correct Answer is:
`sqrt(1+y^(2))=-sqrt(1-x^(2))-1/2log|(sqrt(1+x^(2))-1)/(sqrt(1+x^(2))+1)|+c`
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-QUESTIONS CARRYING 4 MARKS
  1. Find the differential equations representing the family of curves v=A/...

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  2. Solve : xsqrt((1+y^(2)))dx+ysqrt((1+x^(2)))dy=0

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  3. Solve sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(dy)/(dx)=0

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  4. Solve the following differential equation e^(x) tan ydx + (1- e^(x) ...

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  5. Find the particular solution of the following differential equation : ...

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  6. Find the particular solution of the following differential equation: ...

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  7. Find the particular solution of the following differential equation: ...

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  8. If y(x) is a solution of the differential equation ((2+sinx)/(1+y))(dy...

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  9. Find the particular solution of the differential equation log((dy)/(dx...

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  10. Find the particular solution of the differential equation e^(x)sqrt(1-...

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  11. Solve the differential equation (x^(2)-yx^(2))dx+(y^(2)+x^(2)y^(2))dy=...

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  12. Find the particular solution of the following differential equation: ...

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  13. Show that each of the following differential equations is homogeneous ...

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  14. Show that each of the following differential equations is homogeneous ...

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  15. Show that each of the following differential equations is homogeneous ...

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  16. Show that the given differential equations are homogeneous and solve t...

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  17. Show that the given differential equation is homogeneous and solve it:...

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  18. Solve the differential equation xdy - ydx = sqrt(x^2+y^2)dx

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  19. Solve the following differential equations ( x sin"" (y)/( x)) dy =...

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  20. Show that the differential equation x-cos(y/x)((dy)/(dx)) = ycos(y/x)+...

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