In 10 minutes,a heart can beat 700 times.At this rate,in how many minutes will a heart beat 140 times? At what rate can. a heart
1 answer:
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Take the homogeneous part and find the roots to the characteristic equation:
This means the characteristic solution is
.
Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form
. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.
With
and 
, you're looking for a particular solution of the form 
. The functions 
satisfy
where
is the Wronskian determinant of the two characteristic solutions.
So you have
So you end up with a solution
but since
is already accounted for in the characteristic solution, the particular solution is then
so that the general solution is
This means the characteristic solution is
Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form
With
where
So you have
So you end up with a solution
but since
so that the general solution is
Answer:
The price of a single printer cartridge is 19.69, in your given currency.
Step-by-step explanation:
First remove the tax and the software package from the total bill.
Since there are 3 cartridges, you divide 59.07 by 3, giving you the price of a single cartridge.