contestada

a calf weighs wo pounds at birth gains wight at the rat dw/dt= 1200-w where w is wight in pounds and t is time in years

Respuesta :

LammettHash
[tex]\dfrac{\mathrm dw}{\mathrm dt}=1200-w[/tex]
[tex]\dfrac{\mathrm dw}{w-1200}=-\mathrm dt[/tex]
[tex]\displaystyle\int\dfrac{\mathrm dw}{w-1200}=-\int\mathrm dt[/tex]
[tex]\ln|w-1200|=-t+C[/tex]
[tex]e^{\ln|w-1200|}=e^{-t+C}[/tex]
[tex]w-1200=Ce^{-t}[/tex]
[tex]w=1200+Ce^{-t}[/tex]

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