Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
See image below it keeps going
Round to one decimal place
so you round the .8
look at the hundredth place and you see 6 so round up
38.9
Answer:6th grade math Learn with flashcards, games, and more — for free. ... Keisha can make 1 gift basket in 95 minutes. complete the table of equivalent ratios to show the number of minutes it takes Keisha to make a certain number of gift baskets. Gift Basket = 2, ?, 6, ? Minutes = ?, 380, ?, 760. Gift Basket 2, 4, 6, 8. Minutes
Step-by-step explanation:
Answer:
glasses
Step-by-step explanation:i think it is a trend right now to wear fake glasses for the look and that is why if someone has an eye problem it isnt weird but trendy to wear galsses
