Asked by Ghost
Which of the following statements best describes the solution curve to the differential equation dy/dx=-1.233(y-80), with initial condition y(0)=-40?
Answers
Answered by
Ghost
A. The solution curve y=y(x) is modified exponential growth, and y -> - ∞ as x -> ∞
B. The solution curve y=y(x) is modified exponential growth, and y -> 80 as x -> ∞
C. The solution curve y=y(x) is modified exponential decay, and y -> 80 as x -> ∞
D. The solution curve y=y(x) is modified exponential decay, and y -> -40 as x -> ∞
E. The solution curve y=y(x) is modified exponential growth, and y -> ∞ as x -> ∞
B. The solution curve y=y(x) is modified exponential growth, and y -> 80 as x -> ∞
C. The solution curve y=y(x) is modified exponential decay, and y -> 80 as x -> ∞
D. The solution curve y=y(x) is modified exponential decay, and y -> -40 as x -> ∞
E. The solution curve y=y(x) is modified exponential growth, and y -> ∞ as x -> ∞
Answered by
Ghost
It's C:
The solution curve y=y(x) is modified exponential decay, and y -> 80 as x -> ∞
The solution curve y=y(x) is modified exponential decay, and y -> 80 as x -> ∞
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