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:
B
Step-by-step explanation:
Multiply all to find the area of any
The only solution is when y=y
x+1=x-1 subtract x from both sides
1=-1
This is never true so there are no solutions. In this case it is due to the fact that both lines have the same slope and different y-intercepts. This means that they are parallel lines that have a constant distance between them.
Formula to find the length of two endpoints: 
Now, solve with the given endpoints.
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Now, simplify using what we know about radicals.
Solution in picture.
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The length between the endpoints is 2√34 (Option B)
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Best Regards,
Wolfyy :)
