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If y=e^-x cos2x then which of the follow...

If `y=e^-x cos2x` then which of the following differential equations is satisfied?

A

`(d^2y)/(dx^2)+2(dy)/(dx)+5y=0`

B

`(d^2y)/(dx^2)+5(dy)/(dx)+2y=0`

C

`(d^2y)/(dx^2)-5(dy)/(dx)-2y=0`

D

`(d^2y)/(dx^2)+2(dy)/(dx)-5y=0`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
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  2. y=a+b/x is a solution of the differential equation

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  3. If y=e^-x cos2x then which of the following differential equations is ...

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  4. The differential equation of the family of straight line y=mx+(4)/(m),...

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  6. If y=A/x+Bx^2 , then x^2(d^2y)/(dx^2) =

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  7. Form the differential equation corresponding to y=e^(m x) by eliminati...

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  8. The differential equation of the family of curves y=e^x(Acosx+Bsinx), ...

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  9. if y=a sin (log x) + b cos (log x ) , then the differential equation w...

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  10. Family of curves y=Ax+A^(3) is represented by the differential equatio...

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  11. Form the differential equation of simple harmonic motion given by x=A ...

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  12. The family of curves y = e^(a sinx) where a is an arbitrary constant ...

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  13. The differentiala equation representing the family of curves y^(2)=2k(...

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  14. The order of the differential equation of all parabolas , whose...

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  15. The degree and order of the differential equation of the family of all...

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  16. The differential equation satistied by the family of curves y-axcos(1/...

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  17. Form the differential equation representing the parabolas having ve...

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  18. The differential equation of the family of parabolas with focus at the...

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  19. If m and n are respectively the order and degree of the differential e...

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

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