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Form the differential equation by elimin...

Form the differential equation by eliminating the arbitrary constant from `y = A cos 3x + B sin 3x`

A

`(d^(2)y)/(dx^(2)) + 9y = 1`

B

`(d^(2)y)/(dx^(2)) + 9y = 1`

C

`(d^(2)y)/(dx^(2)) - 9y = 0`

D

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

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - I
  1. y=Ae^(x)+Be^(2x)+Ce^(3x) satisfies the differential equation

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  2. The differential equation by eliminating A, B from y = e^(3x)(A+Bx + C...

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  3. Form the differential equation by eliminating the arbitrary constant f...

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  4. The differential equation of the family of parabolas having vertices a...

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  5. Form the differential equation from ax^(2) + by^(2) = 1

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  6. The differential equation of family of circles of fixed radius 5 units...

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  7. Form the differential equation by eliminating the arbitrary constant f...

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  8. dx + dy = (x + y) (dx -dy) rArr log (x + y) =

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  9. The solution of the equation (dy)/(dx) = e^(-2x) is

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  10. The solution of the cosec^(2x)(dy)/(dx) - (1)/(y) = 0 is

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  11. The solution of (dy)/(dx) = ((y)/(x))^(1//3) is

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  12. The solution of sqrt(1 + x^(2)) dx + sqrt(1 + y^(2)) dy = 0 is

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  13. The solution of x^(2) (dy)/(dx) = sqrt(4 - y^(2)) is

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  14. The solution of 3e^(x) cos^(2) ydx+(1-e^(x)) cot y dy = 0 is

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  15. A particle moves in a line with velocity given by (ds)/(d t) = s+1. Th...

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  16. Equation of the curve passing through the point (4,3) and having slope...

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  17. The slope of a curve at any point on it is the reciprocal of twice of ...

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  18. The solution of (dy)/(dx) = (x^(2) + y^(2))/(xy) is

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  19. The solution of (dy)/(dx) + y = e^(x) is

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  20. The solution of (dy)/(dx) = (y + x tan.(y)/(x))/(x) rArr sin.(y)/(x)=

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