I'll assume the ODE is
Solve the homogeneous ODE,
The characteristic equation
has roots at 
and 
. Then the characteristic solution is
For nonhomogeneous ODE (1),
consider the ansatz particular solution
Substituting this into (1) gives
For the nonhomogeneous ODE (2),
take the ansatz
Substitute (2) into the ODE to get
Lastly, for the nonhomogeneous ODE (3)
take the ansatz
and solve for 
.
Then the general solution to the ODE is
Answer:
21.45 mi
Step-by-step explanation:
Distance = speed × time
The time it takes the lion is:
13.75 mi = 50 mi/hr × t
t = 0.275 hr
The distance ran by the cheetah in that time is:
d = 78 mi/hr × 0.275 hr
d = 21.45 mi
Answer:
the answer should be 8.9
you square 12 and square the 8 and subtract them by each other
Answer:
gallons of ice tea is left with Morris
Step-by-step explanation:
Morris has 2 3/4 gallons of ice tea. He gives 3/7 of it to her friend.
Morris has 2 3/4 gallons of ice tea
He gives 3/7 of it to her friend.
To find how many gallons of ice tea does Morris have left , we subtract 3/7 from 11/4
Make the denominators same
Answer:
12
Step-by-step explanation:
-12 = -3/4x + 3
-9 = -3/4x
-9 = (-3/4) times x
-9 = (-3/4) times 12
hope this helps! :)
