Which of the following functions satisfy the differential equation y' = 3(12 - y)?
(I) y = 4(3 - $e ^ { - 3 x }$ )
(II) y = 12(1 - $e ^ { - 3 x }$ )
(III) y = 12 - $e ^ { - 3 x }$
(IV) y = 3(1 - $e ^ { - 12 x }$ )
A) I, II, and III
B) I and II
C) I and III
D) II and III
E) none of these

Question

Which of the following functions satisfy the differential equation y' = 3(12 - y)? 
(I) y = 4(3 - $e ^ { - 3 x }$ )
(II) y = 12(1 - $e ^ { - 3 x }$ )
(III) y = 12 - $e ^ { - 3 x }$ 
(IV) y = 3(1 - $e ^ { - 12 x }$ )
A) I, II, and III
B) I and II
C) I and III
D) II and III
E) none of these

Quizplus · Accepted Answer

The correct answer is (I) and (II) because they satisfy the differential equation y' = 3(12 - y).

Which of the Following Functions Satisfy the Differential Equation Y e−3xe ^ { - 3 x }e−3x

Which of the Following Functions Satisfy the Differential Equation Y $e ^ { - 3 x }$