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Show that the differential equation x co...

Show that the differential equation x cos(y/x)`(dy)/(dx)` = y cos(y/x) + x is homogeneous and solve it.

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V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. In a culture , the bacteria count is 1,00,000. The number is increased...

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  2. The general solution of the differential equation (dy)/(dx)=e^(x+y) is

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

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  4. solve the differential equation (x^2+x y) d y=(x^2+y^2) d x

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  5. Show that the following equations are homogeneous and solve each of th...

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  6. Show that the following equations are homogeneous and solve each of th...

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  7. solve the differential equation (x^2-y^2) d x+2 x y d y=0

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  8. solve x^2 (dy)/(dx)=x^2-2 y^2+x y

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  9. Consider the DE xdy-ydx=sqrt(x^2+y^2)dx Find the general solution.

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  10. {x cos (y/x)+y sin (y/x)} y d x={y sin (y/x)-(x) cos (y/x)} x d y

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  11. x (dy)/(dx)-y+x sin (y/x)=0

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  12. solve y d x+x log (y/x) d y-2 x d y=0

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  13. Show that the following equations are homogeneous and solve each of th...

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  14. solve (x+y) d y+(x-y) d x=0 , y=1 when x=1

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  15. solve x^2 d y+(x y+y^2) d x=0 , y=1 when x=1

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  16. Find the particular solution of the following equation satisfying the ...

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  17. solve (dy)/(dx)-y/x+cosec(y/x)=0 y=0 when x=1

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  18. 2 x y+y^2-2 x^2 (dy)/(dx)=0 , y=2 when x=1

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  19. A homogeneous differential equation of the form (dx)/(dy) = h(x/y) can...

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  20. Which of the following is a homogeneous differential equation? (4 x+6 ...

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