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)
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
419.5 ft of BX cable
step-by-step explanation:
12x8.5ft= 102 ft
7x18.5 ft= 129.5ft
24x 1.75ft= 42ft
12x 6.5ft=78 ft
2x 34.25= 68.5ft
Add all the answers and you get 419.5 ft
Answer:
its b
Step-by-step explanation:
There are two eights per quarter, and four quarters per whole, so there would be 14 eights in one and three quarters
Answer:
6/9 inches
Step-by-step explanation:
3/1 × 2/3 × 1/3 = 6/9 inches