Performing laplace transform of the equation.
sY(s) - y(0) + 6Y(s) = 1/(s-4)
(s+6)Y(s) - 2 = 1/(s-4)
Y(s) = 2/(s+6) + 1/(s-4)(s+6), by partial fraction decomposition
Y(s) = 2/(s+6) + 1/10 * (1/(s-4) + 1/(s+6))
Y(s) = 0.1/(s-4) + 2.1/(s+6)
Performing inverse laplace transform,
y(t) = 0.1e^4t + 2.1e^(-6t)
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Answer:
i believe its 12.55
Step-by-step explanation:
if you add both number, 12.90 and 12.20, then divide by 2.
you'll will gain the same result
Answer:
y=-3/4-5
Step-by-step explanation:
plug in ordered pair 1= -3/4(-8)+b
solve for b. b= -5
plug in to y=mx+b
Answer:
x = 7
Step-by-step explanation:
move all terms that don't contain x to the right side and solve :)