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Verify that the function y = e^(-3x) is ...

Verify that the function `y = e^(-3x)` is a solution of the differential equation
`(d^(2)y)/(dx^(2)) + (dy)/(dx) - 6y = 0`

A

`(dy)/(dx ) - 3y =0`

B

` (d^2 y)/( dx^2) +(dy )/(dx) -6y =0`

C

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

D

`(dy )/(dx )-9y =0`

Text Solution

Verified by Experts

The correct Answer is:
C
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