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y = 5 cos x - 3 sin x, prove that (d^2 y...

`y = 5 cos x - 3 sin x`, prove that `(d^2 y)/(dx^2) + y = 0`

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OMEGA PUBLICATION-SAMPLE QUESTION PAPER -QUESTIONS
  1. By using properties of determinants, show that : |[1,1,1],[a,b,c],[a^...

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  2. Differentiate x^(sin x) + (sin x)^(cos x) w.r.t.x.

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  3. y = 5 cos x - 3 sin x, prove that (d^2 y)/(dx^2) + y = 0

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  4. Evaluate int ( 5 x)/( x + 1( x^(2) + 9)) dx

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  5. Evaluate int(0)^(4)|x-1|dx.

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  6. Evlauate int(x+1)sqrt(2x^(2)+3)dx

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  7. Solve: x^(2)(dy)/(dx) =x^(2) -2y^(2)+xy

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  8. I.F. of x (dy)/(dx) + y = x log x is .......................

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