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:
1 to 30 seconds
Step-by-step explanation:
3 seconds increases your speed from 32 to 35 miles per hour
Hence 3 seconds = 3 miles per hour(35-32 miles)
1 second = 1 mile
The function for the increase per mile is therefore:
f(x)= 1x
Where x is number of seconds travelled on the highway
The domain of a function are the possible input values for x. Since the speed limit on the highway is 65 miles, the input values for x cannot be more than 30 seconds(current speed is 35 miles per hour, 65-35=30)
Answer:from my understanding it should be D I would wait for someone else to answer just in case I’m wrong.
Answer:
<u>add up all numbers</u>
<u>then divide that number by the amount of numbers.</u>
Step-by-step explanation:
mad is basically finding the average of a set of numbers.
and how do you do that?
first, add up all numbers
ex: 1, 5,3,10,6,20,15,15,14 --> this adds up to 90.
then divide that number by the amount of numbers.
count how much numbers ehere are: there are 9 numbers.
divide 90 by 9 and the mad/average is 10.
plz give brainliestttt