Which of the following statements best describes the solution curve to the differential equation dy = −1.233(y – 80), with initial condition y(0) = -40? dx A. The solution curve y = y(x) is modified exponential decay, and y →→ 80 as x→→∞. OB. The solution curve y = y(x) is modified exponential growth, and y →80 as x → ∞. O C. The solution curve y = y(x) is modified exponential decay, and y →→ 40 as x →∞. O D. The solution curve y = y(x) is modified exponential growth, and y →∞ as x →∞. E. The solution curve y = y(x) is modified exponential growth, and Y ∞as x→∞.

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Which of the following statements best describes the solution curve to the
differential equation dy = −1.233(y – 80), with initial condition
dx
y (0) = -40?
A. The solution curve y = y(x) is modified exponential decay, and
y → 80 as x →→∞.
O B. The solution curve y = y(x) is modified exponential growth, and
y →80 as x →∞.
O C. The solution curve y = y(x) is modified exponential decay, and
y → →40 as x →∞.
O D. The solution curve y
Y →→ ·∞as x → ∞.
y(x) is modified exponential growth, and
O E. The solution curve y = y(x) is modified exponential growth, and
Y
∞as x→∞.
Transcribed Image Text:Which of the following statements best describes the solution curve to the differential equation dy = −1.233(y – 80), with initial condition dx y (0) = -40? A. The solution curve y = y(x) is modified exponential decay, and y → 80 as x →→∞. O B. The solution curve y = y(x) is modified exponential growth, and y →80 as x →∞. O C. The solution curve y = y(x) is modified exponential decay, and y → →40 as x →∞. O D. The solution curve y Y →→ ·∞as x → ∞. y(x) is modified exponential growth, and O E. The solution curve y = y(x) is modified exponential growth, and Y ∞as x→∞.
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