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Find the particular solution of the differential equation `(dy)/(dx) = 1+x+y+xy,` given that y = 0 when x = 1.

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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Frequently Asked Questions
  1. Solve the differential equation (1+x)(1+y^(2))dx+(1+y)(1+x^(2))dy =0...

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

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

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

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

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

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

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

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

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

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

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  12. (x^2+x y)dy=(x^2+y^2)dx

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  13. Show that the differential equation (x^(2)+xy)dy=(x^(2)+y^(2))dx is ho...

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  14. Solve : (dy)/(dx)=(y^(3)+2x^(2)y)/(x^(3)+2xy^(2)).

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  15. An equation of the curve satisfying x dy - y dx = sqrt(x^(2)-y^(2))dx ...

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  16. Solve : (x cos. y/x) ( y dx + x dy) = ( y sin. y/x) (x dy- y dx).

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  17. The differential equations , find the particular solution satisfyin...

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  18. Solve the following differential equation: x ylog(x/y)dx+{y^2-x^2log(x...

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  19. Solve the following differential equation: x(dy)/(dx)-y+xsin(y/x)=0

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  20. Prove that x^2-y^2=c(x^2+y^2)^2is the general solution of differenti...

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