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Show that the differential equation : 2y...

Show that the differential equation : `2ye^(x/y)dx + (y - 2xe^(x/y) ) dy = 0` is homogeneous and find its particular solution given that `x = 0 `when `y=1`

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JMD PUBLICATION-DIFFERENTIAL EQUATION-EXERCISE
  1. Fill in the blank: Degree of (dy/(dx))^4+3y(d^2y/(dx^2))=0 is ...........

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  2. Dill in the blank: Integrating factor of dy/dx-(y/x)=x^2 is ........

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  3. Fill in the blank: Integrating factor of xdy/(dx)+2y=3x is

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  4. The integrating factor of dy/(dx)-(y/x)=2x is 1/x

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  5. Order of (dy/(dx))^2+1/(dy/dx)=2 is 1.

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  6. Degree of differential equation y^n+tan y' = y is 1

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  7. Solve the following differential equation:(x^2 - 1) dy/dx+ 2xy =2/(x^2...

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

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  9. Solve the following differential equation:(x^2 - 1) dy/dx+ 2xy =2/(x^2...

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

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  11. Find the particular solution, satisfying the given condition, for the ...

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  12. Solve the following differential equation :cos x dy /dx+ y = sin x

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  13. Solve the following differential equation :xdy/dx + y = x log x, x!=0.

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  14. For the differential equation xydy/dx = (x + 2) (y +2), find the solut...

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  15. Solve the following differential equation :(1 + x^2) dy/dx + y = tan^-...

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  16. Solve the differential equation [(e^(-2sqrtx) ) /sqrtx-y/sqrtx]dy/dx=1...

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  17. Show that the differential equation : 2ye^(x/y)dx + (y - 2xe^(x/y) ) ...

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  18. Solve the differential equation x(x^2 - 1) dy dx = 1,y=0when x=2

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

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  20. Show that the differential equation xdy/dxsin(y/x) +x-y sin (y/x) =0 i...

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