The correct question is:
Suppose x = c1e^(-t) + c2e^(3t) a solution to x''- 2x - 3x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c1 as c1 and c2 as c2.)
Answer:
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
Step-by-step explanation:
We need to verify that
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
We differentiate
x = c1e^(-t) + c2e^(3t)
twice in succession, and substitute the values of x, x', and x'' into the differential equation
x''- 2x' - 3x = 0
and see if it is satisfied.
Let us do that.
x = c1e^(-t) + c2e^(3t)
x' = -c1e^(-t) + 3c2e^(3t)
x'' = c1e^(-t) + 9c2e^(3t)
Now,
x''- 2x' - 3x = [c1e^(-t) + 9c2e^(3t)] - 2[-c1e^(-t) + 3c2e^(3t)] - 3[c1e^(-t) + c2e^(3t)]
= (1 + 2 - 3)c1e^(-t) + (9 - 6 - 3)c2e^(3t)
= 0
Therefore, the differential equation is satisfied, and hence, x is a solution.
Step-by-step explanation:
2. is false next answer by next person
Answer:
It would be 649
Step-by-step explanation:
118 ÷ 2= 59
59 x 11= 649
Answer:
$106.08
Step-by-step explanation:
Given:
6x $5.00
5x $2.00
12x $1.00
9x= 0.50
6x25 cent
42x10 cent
10x5 cent
15=15cent
$97.23
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6 five dollar bill is $30.00
so 5 two dollar bill is $10.00
12 one dollar bills is $12.00
9 half dollar bill mean 0.50 cent since it Half and that would make $4.50
6 quarter so 6x25 which equal $1.50
42 dimes and dimes =10 cent so 42x10 which equal $4.20
10 nickels and nickels = 5 cent so 10x5=0.50
15=15 pennies
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30.00+10.00+12.00+4.50+1.50+4.20+0.50+0.15+97.23 =
$106.08 Total Deposit
Answer:
500g
Step-by-step explanation:
Because the domula of acceleration is v-u/t so initial velocity is 15 and final velocity is 55 and mass is force * acceleration
