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If y= [Log(x+sqrt(x^2+1))]^2 then show t...

If `y= [Log(x+sqrt(x^2+1))]^2` then show that `(x^2+1)y_2+xy_1=0`

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If sqrt(x^2 +1) y = log(sqrt(x^2+1)-x) , then show that (x^2 +1) dy/dx + xy + 1=0

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BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION X)(SHORT ANSWER TYPE QUESTIONS)
  1. Find the second order derivative of the following functions If y = c...

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  2. Find the second order derivative of the following functions If y = P...

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  3. Find the second order derivative of the following functions If y = a...

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  4. If y = 500e^7x + 600e^-7x show that (d^2y/dx^2) = 49y

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  5. If y = A sinx + B cosxthen prove that d^2y/dx^2 + y = 0

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  6. Find the second order derivative of the following functions y = A co...

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  7. Find the second order derivative of the following functions y = (log...

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  8. Find the second order derivative of the following functions If y = a...

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  9. Find the second order derivative of the following functions If y = (...

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  10. Find the second order derivative of the following functions If y = c...

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  11. If y = tan^-1 x, show that : (1+x^2) d^2y/dx^2+ 2x dy/dx=0

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  12. Find the second order derivative of the following functions If y = (...

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  13. Find the second order derivative of the following functions If y = l...

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  14. If y= [Log(x+sqrt(x^2+1))]^2 then show that (x^2+1)y2+xy1=0

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  15. Find the second order derivative of the following functions If y = s...

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  16. Find the second order derivative of the following functions If y = e...

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  17. If y = e^(2tan^-1 x), then show that (1+x^2)^2 (d^2y)/(dx^2) + 2x(1+x^...

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  18. Find (d^2y)/(dx^2) in the following x = a cos^3 theta, y = a sin^3 t...

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  19. If x = a(cost + t sint) and y = a(sint - tcost), find (d^2y)/dx^2

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  20. Find (d^2y)/(dx^2) in the following If x = a (theta + sin theta) , y...

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