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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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MODERN PUBLICATION-SAMPLE PAPER 2014-EXERCISE
  1. Evaluate : int (0)^(3/2) [x^(2)]dx.

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  2. Find the area of the region bounded by the curve y=sin^(3)x and the st...

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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 =...

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

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

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

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

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

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

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

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  14. Evaluate int0^ pi x/(1+ sin x) dx

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

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  16. Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.

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

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  18. Solve the following LPP : Maximize Z=20x + 10y, Subject to : x+2y le 4...

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  19. Solve the following system of equations by the matrix inversion method...

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  20. prove that :-C1 - 1/2 C2 + 1/3 C3 + ... + (-1)^(n+1) 1/n Cn = 1+1/2 + ...

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