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Find one parameter families of solution ...

Find one parameter families of solution curves of the following differential equation:
`(1+x^(2))dy+2x ydx=cot x dx(x!=0)`

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Verified by Experts

The correct Answer is:
`y=(1+x^(2))^(-1)log|sinx|+c(1+x^(2))^(-1)`
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-QUESTIONS CARRYING 4 MARKS
  1. Show that the differential equation x-cos(y/x)((dy)/(dx)) = ycos(y/x)+...

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  2. Solve the following differential equation: [y-xcos(y/x)]dy+[ycos(y/x...

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  3. For the differential equation, find the particular solution satisfying...

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  4. For each of the differential equations, find the particular solution s...

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  5. For each of the differential equations, find the particular solution s...

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  6. Solve : x log x dy/dx+y=2/x log x.

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  7. Find one parameter families of solution curves of the following differ...

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  8. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

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  9. Solve the following differential equations x dy - (y+ 2x^2) dx =0

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  10. Find a one parameter family of solutions of each of the following diff...

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  11. Solve: (dy)/(dx)+ysecx=tanx

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  12. Solve the following differential equations (x^2 -1) (dy)/( dx) + 2xy...

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  13. The solution of (1+x^(2))(dy)/(dx)+y=e^(tan-1x), is given by

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  14. Solve the following differential equation (1+y^(2))dx=(tan^(-1)y-x)d...

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  15. Find the particular solution of the differential equation (y-sinx)dx+(...

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  16. Find the particular solution of the differential equation (dx)/(dy) + ...

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  17. Solve: (dy)/(dx)+2ytanx=sinx,y=0 when x=(pi)/3

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  18. Find the particular solution of the differential equation (x + 1)dy/dx...

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  19. Solve the differential equation: (dy)/(dx)+ycotx=2cosx given that y=...

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  20. Solve the differential equation: x(dy)/(dx)+y=xcosx+sinx, given y((p...

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