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Solve the following differential equatio...

Solve the following differential equations
`( x sin"" (y)/( x)) dy = ( y sin ""(y)/( x) - x) dx`

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The correct Answer is:
`cos(y/x)=log|x|+c`
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-QUESTIONS CARRYING 4 MARKS
  1. Show that the given differential equation is homogeneous and solve it:...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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