The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
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2400 divided by 10 is 240 and 240 x 3 = 720 so your answer would be 720 calories per day
Answer: B
Step-by-step explanation:
3-i.........................................
Answer:
Maya, this is such a common question on here, so i'm very interested in what's difficult about this problem for you. Please comment about this. Below is the answer and how to find it.
Step-by-step explanation:
point P1 (5,35) in the form (x1,y1)
point P2(-6,-31) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
m = (-31-35) / (-6-5)
m = -66 / -11
they made it easy for you , huh
m = 6
use point / slope fomula, y-y1 = m(x-x1) and plug in one point, either would work, since i've already labeled it with point P1, let's use that point
y-35 = 6(x-5)
y-35 = 6x-30
y = 6x - 30 + 35
y = 6x + 5
Maya, this really is a very common question on here, I really am curious about what's tricky in the problem for you and many many others. please let me know in comments section, thanks MMM
