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Solve the following differential equa...

Solve the following differential equation: `y\ dx+xlog(y/x)dy=2x\ dy`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If y^x=e^(y-x), prove that (dy)/(dx)=((1+logy)^2)/(logy)

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  2. Write the cartesian equation of a plane, bisecting the line segment...

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  3. Solve the following differential equation: y\ dx+xlog(y/x)dy=2x\ dy

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

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

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  6. For a\ 2\ xx\ 2\ matrix, A=[a(i j)], whose elements are given by a...

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  7. Evaluate: int1^3(2x^2+5x)dx as limit of a sum

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  8. State the reason for the relation R in the set {1, 2, 3} given by R=...

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  9. Write the value of intsecx\ (secx+tanx)\ dx

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  10. Write the value of int(dx)/(x^2+16)

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  11. For what value of x, the matrix [(5-x,x+1),(2,4)] is singular?

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  12. Write A^-1 for A=[(2,5),(1,3)]

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  13. For what value of a the vectors 2 hat i-\ 3 hat j+4 hat k and a h...

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  14. Write the direction cosines of the vector -2 hat i+ hat j-5 hat k

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  15. The length x of a rectangle is decreasing at the rate of 5 cm/minut...

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  16. Find the intervals in which the function f given f(x)=\ sin x+cosx ,\...

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  17. Write the principal value of tan^(-1)(1)+cos^(-1)(-1/2)

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  18. Suppose a girl throws a dice. If she gets 5 or 6 she tosses a coin thr...

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  19. A dietician wishes to mix two types of foods in such a way that the...

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  20. Let vec(a)=hat(i)+4 hat(j)+2hat(k), vec(b)=3 hat(i)-2 hat(j)+7 hat(k) ...

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