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If the function y=e^(4x)+2e^(-x) satisfi...

If the function `y=e^(4x)+2e^(-x)` satisfies the differential equation `(d^(3)y)/(dx^(3))+A(dy)/(dx)+By=0`, then `(A,B)-=`

A

`-13,14`

B

`-13,-12`

C

`-13,12`

D

`12,-13`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The differential equation x(dy)/(dx)+(3)/((dy)/(dx))=y^(2)

    A
    is of order 1
    B
    is of degree 2
    C
    is linear
    D
    is non-linear

  • If y= e^(4x) + e^(-3x) satisfies the relation (d^(3)y)/(dx^(3)) + A (dy)/(dx) + By=0 then A and B respectively are

    A
    12,13
    B
    `-12,13`
    C
    `12,-13`
    D
    `-13,-12`

  • The order of the differential equation 2x^2(d^2y)/(dx^2)-3(dy)/(dx)+y=0 is

    A
    2
    B
    1
    C
    0
    D
    not defined

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