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If ysqrt(x^2 +1) = log{sqrt(x^2 +1)- x} ...

If `ysqrt(x^2 +1) = log{sqrt(x^2 +1)- x}` then prove that `(x^2 +1) dy/dx + xy + 1 = 0`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
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  2. Prove that:|[1, a ,a^2],[a^2, 1 ,a],[a, a^2, 1]| is a perfect square.

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  3. If ysqrt(x^2 +1) = log{sqrt(x^2 +1)- x} then prove that (x^2 +1) dy/dx...

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  4. If y=tan^(-1)(cosx/(1+sinx)),then prove that dy/dx=-1

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  5. Let f(x)={(1/(x+[x]),if xlt0),(-1,if xge0):} Examine the continuity of...

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  12. Evaluate int0^7 [x/3]dx

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