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Show that each of the following differen...

Show that each of the following differential equations is homogeneous and find the primitive of each of them. Derive the solution whenever possible.
`2ye^(x/y)dx+(y-2xe^(x/y))dy=0`

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The correct Answer is:
`2e^((pi)/y)=-log|y|+c`
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-QUESTIONS CARRYING 4 MARKS
  1. Find the particular solution of the following differential equation: ...

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  2. Show that each of the following differential equations is homogeneous ...

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  3. Show that each of the following differential equations is homogeneous ...

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  4. Show that each of the following differential equations is homogeneous ...

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  5. Show that the given differential equations are homogeneous and solve t...

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  6. Show that the given differential equation is homogeneous and solve it:...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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