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.
Answer:
C) To the right.
Step-by-step explanation:
Answer: D
Step-by-step explanation:
5x6=30
Answer:
10 weeks
Step-by-step explanation:
205+2t=195+3t
-2t -2t
205=195+t
-195 -195
10=t
Answer:
The height of the model is 138 cm.
Step-by-step explanation:
Simply multiply the height by the scale factor.
230*0.006
= 1.38 m
We need to convert this measure to centimeters. Centimeters are 1/100 of a meter. Therefore, we can multiply 1.38 meters by 100 to find how many centimeters it is equal to.
1.38*100 = 138
The height of the model is 138 cm.
