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Find the particular solution of the differential equation `(1-y^2)(1+logx) dx+ 2xydy=0` given that `y=0` when `x=1`

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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Frequently Asked Questions
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  5. Show that the differential equation (dy)/(dx)=(y-x)/(y+x) is homogenou...

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

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

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

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

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

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

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

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

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  15. Solve 2y e^(x//y)dx+(y-2x e^(x//y))dy=0

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  16. (x log x ) (dy)/(dx) + y = 2 log x

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  17. Solve the differential equation : x dy/dx+3y=logx/x^3.

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  18. Find the general solution of the differential equations:x(dx)/(dy)+y-...

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  19. xdy + (y - x ^(3)) dx =0

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  20. secx (dy)/(dx) -y = sin x

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