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

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Consider the differential equation (x^2-y^2)dx+2xydy=0 . Choose the correct solution from the following. For y=1 when x=1 a) x^2+y^2=-2x b) x^2+y^2=2x c) x^2+y^2-x=0 d) x^2+y^2+x=0

Solve the differential equation (x d y-y d x) y sin (y/x)=(y d x+x d y) x cos (y/x)

Solve the differential equation: [xsin^2(y/x)-y]dx+x dy=0 .

Consider the differential equation (x^2 -1)(dy)/(dx) + 2 (x + 2) y = 2(x+1) Solve the differential equation.

Solve the differential equation xdy/dx+y=1/x^2 .

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V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Show that the following equations are homogeneous and solve each of th...

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

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

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

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

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  6. {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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  7. x (dy)/(dx)-y+x sin (y/x)=0

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

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

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

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

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

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

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  14. 2 x y+y^2-2 x^2 (dy)/(dx)=0 , y=2 when x=1

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

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

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  17. Find the general solution of the differential equation (dy)/(dx)-y=cos...

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  18. Find the general solution of the differential equation. x (dy)/(dx)+2 ...

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  19. Find the general solution of the differential equation y dx - (x + 2y...

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  20. Find the particular solution of the differential equation. (d y)/(d x...

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