38 subtracted from y is 62.3.
2 answers:
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Answer:
The general solution of the equation is y = + 5
Step-by-step explanation:
Since the differential equation is given as y'(t) = 3y -5
The differential equation is re-written as
dy/dt = 3y - 5
separating the variables, we have
dy/(3y - 5) = dt
dy/(3y - 5) = dt
integrating both sides, we have
∫dy/(3y - 5) = ∫dt
∫3dy/[3(3y - 5)] = ∫dt
(1/3)∫3dy/(3y - 5) = ∫dt
(1/3)㏑(3y - 5) = t + C
㏑(3y - 5) = 3t + 3C
taking exponents of both sides, we have
exp[㏑(3y - 5)] = exp(3t + 3C)
3y - 5 =
3y - 5 =
3y = + 5
dividing through by 3, we have
y = + 5
So, the general solution of the equation is y = + 5
Answer: skin cells were not burned.
Step-by-step explanation:
<h3><u> The complete exercise is: Two percent of Sennie's skin cells were burned when she escaped from a fire. IfLet be "x" the number of Sennie's skin cells that were not burned when she escaped from the fire.
According the the data given in the exercise, you know that 2% represents of Sennie's skin cells that were burned. This means that the percent of her skin cells that were not burned is:
With this information you can write the following proportion:
Solving for "x", you get:
To express the result in Scientific notation, the decimal point must be after the first digit; then you must move the decimal point two places to the left: