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Solve the following differential equatio...

Solve the following differential equation: `(x^2-y^2)dx+2x y\ dy=0` given that `\ y=1\ ` when `x=1`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
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  2. If vec a= hat i+ hat j+ hat k\ a n d vec b= hat j- hat k , find a ...

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  3. Solve the following differential equation: (x^2-y^2)dx+2x y\ dy=0 gi...

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  4. Solve the following differential equation: (dy)/(dx)=(x\ (2y-x))/(x\ (...

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  5. Show that the height of the cylinder of maximum volume that can be ...

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  8. Find the angle between the vectors vec a= hat i- hat j+\ hat k\ a...

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  11. Using properties of determinants, prove the following: \begin{vmatr...

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  12. If "f"("x")=x+7 and g(x)=x-7,\ x\ \in R , find (fog)(7).

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  13. Find the value of sin[pi/3 - sin^(-1) (- 1/2)]

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  14. Find the value of x\ and y\ if "2" [(1,3) ,(0,x)]+ "[(y ,0 ),(1 ,2)]...

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  15. Evaluate: |{:(" "a+ib,c+id),(-c+id,a-ib):}|

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  16. Find the cofactor of a(12) in the following: [(2,-3,5), (6 ,0 ,4), (...

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  17. Evaluate int(x^2)/(1+x^3)\ dx"

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  18. Evaluate : int0^1(dx)/(1+x^2)

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