Ecuaciones Del Metal.docx

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cantidad de medicamento en el órgano esta dada por: 2

x'(t) =0,6 - _____ x(t) , x(0) =0 120 Aplicando la formula de Lagrange, la cantidad de medicamento en el órgano esta dada por:

t ⁻2(t - s)/120 x(t) = 0.6 ∫₀ e ds

-2t/120

= 25 ( 1 - e

)

Así que la concentración del medicamento en el órgano , C(t)=x(t)/V esta dada por : -2t/120 C(t) = 0.3 ( 1 - e

) g/cm³

Si t₁ es el instante en el que la concentración es 0.2 g /cm³, es -2t₁/120 necesario verificar que 0.2 = 0.3 ( 1- e

) , es decir, 2t₁/120=Ln3

t₁ = ( 120/2 )Ln3 = 60*Ln3 = 65.92 seg.

Ver más en Brainly.lat - https://brainly.lat/tarea/7906518#readmore 1562,5 -41,66666666666667

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