
First consider the homogeneous part,

which has characteristic equation

This has roots

, so the characteristic solution is

For the nonhomogeneous part, consider a solution of the form

which has second derivative

Substituting into the ODE gives

Matching up coefficients gives the system

which has solutions

So the particular solution is

Therefore the general solution is

Answer: 15
Step-by-step explanation:
Answer:
The mistake is he said"The equation has infinitely many solutions."
But based on what he was solving for, this equation does not have any solutions, so that's his mistake.
6
To solve this problem, you need to divide the total number of students going on the field trips with the number of students in each group.
44/7
= 6 R 2
Since, I assume there can <em>only</em> be groups of 7, the answer is 6.
You can determine your speed that is Speed = (distance/Time). Mind you in this cast time should be in hour, so 30 min - 1/2 hour or 0.5 Hour
Your speed is 5/0.5 = 10 mi/hour