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Show that the differential equation 2y e...

Show that the differential equation `2y e^(x/y)\ dx+(y-2x e^(x/y))` `dy=0` is homogeneous. Find the particular solution of this differential equation, given that `x=0` when `y=1.`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. Using integration, find the area of the triangle ABC, coordinates o...

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  2. Evaluate : int(-1)^2|x^3-x|\ dx

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  3. Show that the differential equation 2y e^(x/y)\ dx+(y-2x e^(x/y)) dy=...

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  4. Find the particular solution of the following differential equation...

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  5. Find the area of a parallelogram ABCD whose side AB and the diagonal A...

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  6. Find the coordinates of the point where the line through the points (...

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  7. In a shop X, 30 tins of pure ghee and 40 tins of adulterated ghee whic...

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  8. Let A=R-{3},B=R-{1}, and let f: AvecB be defined by f(x)=(x-2)/(x-3) i...

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  9. A wire of length 36m is to be cut into two pieces. One of the piece...

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  10. Using the method of integration, find the area of the triangle ABC, c...

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  11. Find the equation of the plane through the line of intersection of t...

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  12. If e^y(x+1)=1 , show that (d^2y)/(dx^2)=((dy)/(dx))^2 .

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  13. Let A=[[2,-1],[3,4]],B=[[5,4],[7,4]],C=[[2,5],[3,8]]. Find a matrix D ...

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  14. If x^my^n = (x + y)^(m+n), prove that (d^2y)/(dx^2)=0.

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  15. Find the area enclosed between the parabola 4y=3x^2 and the straight l...

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  16. A variable plane which remains at a constant distance 3p from the orig...

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  17. Evaluate : int0^(3/2)|xsin pi x| dx

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  18. Determine the value of k for which the following function is continuou...

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  19. Find the distance between the planes 2x – y + 2z = 5 and 5x – 2.5y + ...

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  20. Using properties of determinants, prove that |(a^2+2a, 2a+1,1), (2a+1,...

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