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Solve the following differential equatio...

Solve the following differential equations
`(1+y^2)dx+(x-e^(-tan^(-1)y))dy=0`

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SHARAM PUBLICATION-QUESTION PAPER 2014-EXERCISE
  1. Evaluate: overset(3/2)underset(0)int[x^2]dx.

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  2. Find the area of the region bounded by the curve y=sin x and the strai...

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  3. Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...

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  4. Solve : (x+y)dy +(x-y)dx = 0.

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  5. Find the differential equation whose general solution is ax^(2)+by=1, ...

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  6. If the sum of two unit vectors is a unit vectors find the magnitude of...

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

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  8. Find the co-ordinates of the foot of the perpendicular from the point ...

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  9. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

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  10. Using the method of elemination find the symmetrical form of equation ...

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  11. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

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  12. If A and B are square matrices of same order, then show by means of an...

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  13. If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...

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  14. Five cities A,B,C,D,E are connected to each other by straight roads. W...

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  15. Two balls are drawn from a bag containing 6 red and 4 yellow balls. Fi...

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  16. A person draws three cards at random one after another from a pack of ...

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  17. Evaluate: overset(pi)underset(0)int x/(1+sinx)dx

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  18. Solve the following differential equations (x+tany)dy= sin 2y ""dx

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  19. Prove that by vector methord, in any Delta ABC, (a)/(sin A) = (b)/(sin...

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  20. Find the equation of the sphere inscribed in a tetrahedron whose faces...

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