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The general solution of the equation ((...

The general solution of the equation `((d^3y)/(dx^3)) - 7 ((d^2y)/(dx^2)) +16 (dy)/(dx) -12 y=0`

A

`c_1 e^(2x) + c_2 e^(-2x) + c_3 e^(-3x)`

B

`(c_1 + c_2x )e^(2x) + c_3 e^(3x)`

C

`(c_1 x + c_2 )e^(-3x) + c_3 e^(2x)`

D

`(Acos x + Bsin x) e^(2x) + c_3 e^(3x)`

Text Solution

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The correct Answer is:
B
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A DAS GUPTA-Some New Pattern Problems-Exercise
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  2. The curve passing through the point (1, 2) that cuts each member of th...

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  4. Find the differential equation for which the following value of y is t...

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  5. The general solution of the equation (d^3 y)/ (dx^3) +y=0 is

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  8. The sum of the elements of the product [3, 2,0] and [(3),(2), (0)] is

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  9. The rank of matrix [(x, -1, 0), (0, x, -1), (-1, 0,x)] is 2 then value...

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  13. The product of the numbers 5623 and 6 in the scale of eight is

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  14. Which of thefollowing is true?

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  19. The combined equation of asymptotes to the hyperbola x^2 + 4xy + 3y^2...

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