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Write the integrating factor of the diff...

Write the integrating factor of the differential equation `(x - lny)(dy)/(dx) = -y lny`

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SHARAM PUBLICATION-QUESTION PAPER 2011-EXERCISE
  1. Evaluate: overset(4)underset(0)int sqrtx dx

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  2. Reduce the following to a linear differential equation x(dy)/(dx)+y=...

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  3. Write the integrating factor of the differential equation (x - lny)(dy...

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  4. Solve (dy)/(dx)=(y^2)/(xy-x^2).

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  5. Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...

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  6. Find the area of the parallelogram whose diagonals are vectors 3hati+h...

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  7. Determine the value of m, for which the following vectors are orthogon...

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  8. find the equation to the plane passing through the line x=y=z and the ...

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  9. Find the image of the point (-2,0,3) with respect to the plane y = 3.

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  10. Shade the feasible region for the inequations 2x+3yle6,xge0,yge0 in a ...

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  11. Find n and x, given that: (1+x)^n =1+3/4+((3)(5))/((4)(8))+((3)(5)(7...

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  12. Prove that: A = ([3,1],[-1,2]) impliesA^2-5A+7I =0.

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  13. Test whether the following system of equations have non zero solution....

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  14. Two dice are rolled in succession. Find the probability that the first...

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  15. A and B are two events. If P(A)=3/8,P(B) =1/2 and P(AnnB)=1/4 then fin...

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  16. Prove that y=tan^(-1)sqrt((1+sinx)/(1-sinx))rArr(dy)/(dx)=1/2

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  17. x^py^q= (x+y)^(p+q)implies(dy)/(dx)=y/x

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  18. Find the following limits:lim(xrarr1)(1/(x-1)-1/(lnx))

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  19. Find the following limits:lim(xrarr1)(2-x)^("cosec"pix)

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  20. Discuss the extreme value of the function y=(x+2)^4(x-1)^5

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