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if y=a sin (log x) + b cos (log x ) , th...

if `y=a sin (log x) + b cos (log x )` , then the differential equation without the parameter a and b is

A

`(d^2y)/(dx^2)+x(dy)/(dx)+x^2y=0`

B

`x^2(d^2y)/(dx^2)-x(dy)/(dx)+y=0`

C

`x^2(d^2y)/(dx^2)+x(dy)/(dx)+y=0`

D

`x^2(d^2y)/(dx^2)-x(dy)/(dx)-y=0`

Text Solution

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The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
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  6. The family of curves y = e^(a sinx) where a is an arbitrary constant ...

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  14. The differential equation of all parabolas having their axes of symmet...

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  15. All parabolas whose axis is the Y-axis.

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  17. Form the differential equation of the family of circles touching th...

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