3 because they are the same size
Use reduction of order. Given a solution , look for a second solution of the form .
Compute the first two derivatives of :
Substitute them into the ODE:
Now substitute and you end up with a linear ODE:
Multiply through both sides by (if you're familiar with the integrating factor method, this is it):
Bear in mind that in order to do this, we require . Just to avoid having to deal with absolute values later, let's further assume .
Notice that the left side is the derivative of a product,
Integrate both sides with respect to :
Solve for :
Solve for by integrating both sides:
Integrate by parts:
Solve for :
But since is already accounted for, the second solution is just
Still, the general solution would be
X + 27 = 14
27-14 = 13
-13 + 24 = 14
the answer is -13
Answer:
-15
Step-by-step explanation:
We proceed as follows;
In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.
Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.
Thus, we have;
2a(b-3) + 5b + _
Now, putting -15 will give us the same expression in the first bracket and this gives us the following;
2a(b-3) + 5b-15
2a(b-3) + 5(b-3)
So we can have ; (2a+5)(b-3)
Hence the constant used is -15
The answer would be milliliter. Hope that is helpful.