Consider the differential equation dy = y +t. dt Given that the general solution to the DE is y(t) = -t – 1+ Ce*, which of the following is the solution that satisfies the initial condition y(0) = 2? y(t) = -t – 1 – 2e* O b. y(t) = -t +1+3et O c. y(t) = -t +1+2e* O d. y(t) = 2

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Author:James Stewart
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Chapter1: Functions And Models
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Consider the differential equation
dy
= y+t.
dt
Given that the general solution to the DE is y(t) = –t – 1 + Cet, which of the following is the solution that satisfies the initial condition y(0) = 2?
a. y(t) = -t –1– 2et
O b. y(t) = -t +1+3et
O c. y(t) = -t+1+2e
O d. y(t) = 2
Transcribed Image Text:Consider the differential equation dy = y+t. dt Given that the general solution to the DE is y(t) = –t – 1 + Cet, which of the following is the solution that satisfies the initial condition y(0) = 2? a. y(t) = -t –1– 2et O b. y(t) = -t +1+3et O c. y(t) = -t+1+2e O d. y(t) = 2
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