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Find the differential equation whose gen...

Find the differential equation whose general soltution is `c_1x^2+c_2y=1` where `c_1,c_2` are arbitrary constants.

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SHARAM PUBLICATION-QUESTION PAPER 2010-EXERCISE
  1. Evaluate: overset(3/2)underset(0)int[x^2]dx.

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  2. Find the area bounded by the curve x=y^2 and the straight lines x = 0,...

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  3. Find the differential equation whose general soltution is c1x^2+c2y=1 ...

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

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  5. Find an integrating factor of the differential equation (x + tan y ) d...

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  6. If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...

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  7. Find the scalar projection of the vector vec a= 3 hat i+6 hat j+9 hat ...

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  8. Find the value of lambda such that the following vectors are coplanar...

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  9. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

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  10. Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5...

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  11. If one end of a diameter of the sphere x^2+y^2+z^2-2x+4y-6z-11=0 is (-...

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  12. Show that feasible region for the following constarints in a graph 2x+...

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  13. If a system of equations lamda x +3y=0 x+(lamda-2)y=0 has infinitely...

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  14. Find the inverse of the following : [[2,5],[1,3]]

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  15. If the sets A and B have m and n elements respectively, then how many ...

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  16. If A and B are any two events and AsubB, then prove that P(A)leP(B)

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  17. If a die is thrown twice in succession, then find the probability that...

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  18. Find (dy)/(dx) if x=y^x+tan^(-1)x.

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  19. if y=e^(cos^(-1)x) then find dy/dx.

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  20. Show that the rectangle of maximum area that can be inscribed in a giv...

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