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

`{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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Solutions of the differential equations (dy)/(dx) + (y)/(x) = sin x is : a) x(y+cos x ) = sin x+ c b) x(y-cos x ) = sin x+c c) x( y cos x ) = sin x +c d) x(y-cos x) = cos x+ c

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The solution of the differential equation log x (dy)/(dx) + (y)/(x) = sin 2x is a) y log | x | = C - (1)/(2) cos x b) y log |x| = C + (1)/(2) cos 2x c) y log | x| = C - (1)/(2) cos 2x d) xy log | x | = C - (1)/(2) cos 2x

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V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. solve x^2 (dy)/(dx)=x^2-2 y^2+x y

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

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  3. {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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  4. x (dy)/(dx)-y+x sin (y/x)=0

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

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

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

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

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

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

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  11. 2 x y+y^2-2 x^2 (dy)/(dx)=0 , y=2 when x=1

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

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

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

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

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

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

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  18. Find the equation of a curve passing through the point (0,1). If the s...

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  19. Solve the following differential equations (dy)/(dx) + 2y = sin x

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  20. find general solution (dy)/(dx)+3 y =e^(-2 x)

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