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03-01-2022
Mathematics

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IF Y = e ^ (- 3x) then prove that (d ^ 2 * y)/(d * x ^ 2) + (dy)/(dx) - 6y = 0

IF Y e 3x then prove that d 2 yd x 2 dydx 6y 0 class=

Respuesta :

03-01-2022

Step-by-step explanation:

dy/dx = -3e^(-3x) = -3y

d^2y/dx^2 = 9e^(-3x) = 9y

The equality becomes

-3y +9y -6y = 0

Which is true, 0=0

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