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Find the differential equation of the fa...

Find the differential equation of the family of circles `(x-a)^(2)+(y-b)^(2)=r^(2)`, where 'a' and 'b' are arbitrary constants.

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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Frequently Asked Questions
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  9. (dy)/(dx) = (1 + y^2)/(1+x^2)

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  10. Solve the differential equation (1+x)(1+y^(2))dx+(1+y)(1+x^(2))dy =0...

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  11. (a) Solve :(i) (dy)/(dx)=1+x+y+xy (ii) xyy'=1+x+y+xy.

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  12. Find the particular solution of the differential equation (dy)/(dx) = ...

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  13. sqrt(1+x^2+y^2+x^2y^2)+x y \ (dy)/(dx)=0

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  14. Solve the following initial value problems and find the corresponding ...

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  15. find the particular solution satisfying the given condition, for the f...

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  16. Solve each of the following differential equations cos y "" dx +(1+2...

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  17. Find the particular solution of the differential equation e^x tan y dx...

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  18. Find the particular solution of the differential equation (1-y^2)(1+lo...

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

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

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