Write and solve the differential equation that models the following verbal statement: The rate of change of Y with respect to x is proportional to 240 - x. dY = k(240– x)-r= - k(240-x)+C dx dY = k(240–x) Y= - kln(240-x)+C dx dY = k(240– x), Y= - (240-x)²+c dx dY = k(240 - x), Y= -240-x)*+C dx dY = k(240– x), Y= - In(240-x)+C dx

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Write and solve the differential equation that models the following verbal statement:
The rate of change of Y with respect to X is proportional to 240-x.
dY
= k(240- x)- Y= - k(240-x) +C
dx
dY
*= k(240-x)Y= - kln(240-x)+C
o dy
= k(240–x), Y= -(240–x)* +c
dx
dY
= (240 – x}, Y= -(240 – x)* + c
dx
o dY
= k(240-x) Y= --
dx
Transcribed Image Text:Write and solve the differential equation that models the following verbal statement: The rate of change of Y with respect to X is proportional to 240-x. dY = k(240- x)- Y= - k(240-x) +C dx dY *= k(240-x)Y= - kln(240-x)+C o dy = k(240–x), Y= -(240–x)* +c dx dY = (240 – x}, Y= -(240 – x)* + c dx o dY = k(240-x) Y= -- dx
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