2 = 2(-3) + 8
2 = -6 + 8
2 = 2
true.
2 = 3 + 1
2 = 4
false.
this is not a solution because both equations have to be true.
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Step-by-step explanation:
Let y1 and y2 be (e^x)/2, and (xe^x)/2 respectively.
The Wronskian of them functions be
W = (y1y2' - y1'y2)
y1 = (e^x)/2 = y1'
y2 = (xe^x)/2
y2' = (1/2)(x + 1)e^x
W = (1/4)(x + 1)e^(2x) - (1/4)xe^(2x)
= (1/4)(x + 1 - x)e^(2x)
W = (1/4)e^(2x)
Since the Wronskian ≠ 0, we conclude that functions are linearly independent, and hence, form a set of fundamental solutions.
Answer:
6 coins
Step-by-step explanation:
For every 5 coins Carmen recieves, she gives off 2 to her brother, leaving her with 3 coins, 3x3=9, 2x3=6
