To take advantage of the characteristic solutions and , you can try the method of variation of parameters, where we look for a solution of the form
with the condition that
Then
Substituting into the ODE gives
Since
the above reduces to
and form a linear system that we can solve for using Cramer's rule:
where is the Wronskian determinant of the fundamental system and is the same determinant, but with the -th column replaced with .
So we have
Then the particular solution is
giving the general solution to the ODE,
Answer: -2(x²+22x+40)
Step-by-step explanation:
When you factor an expression, you are taking out a common factor between the terms. A common factor we can take out is -2 or 2.
-2(x²+22x+40)
2(-x²-22x-40)
Both of these answers work, but we can also take out a -1, therefore, our factor is -2(x²+22x+40). Also, it looks nicer with more positive terms than negative.
Hi there!
First work out the parenthesis. Remember that a negative times a positive ends up with a negative. A negative times a negative ends up with a positive.
Subtract 6x from both sides.
Add 32 to both sides.
Divide both sides by 6.
Now we've found our solution.
~ Hope this helps you!
The answer to this question is:
If the divisor is 40 what is the least 3 digit number dividend that would give a remainder of 4"124/40"
Hope this help, Lukifer677
Your Welcome :)
Answer:
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