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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if u download photomath and take a picture of each problem it will give u a solution to each problem along with the steps of how they got that answer
Answer:
Number above 42 : 14
Number beside 2 : 1
Number above 0: 12
Step-by-step explanation:
The question mark is 5. 8-5=3 and 12-5=7