5/4
(15/16)(4/3) The 4/3 is the reciprocal of 3/4
=5/4
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)
For more information about differential equation, visit
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<span><span>SphereA sphere is the set of all points in space that are a fixed distance from a common point called the center.</span><span>Pyramids<span>A three-dimensional shape with one polygonal base and lateral faces the shape of triangles that meet at a common vertex, called the apex
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Answer:
home inventory
Step-by-step explanation:
the insurance company wants to know what they are going to be insuring
Answer:
The answer is 
, or the first option.
The last option isn't correct for this answer, even though it is correct mathematically. This is because it wants the fully simplified version, so the 5o squared would turn into a 5 and a 2, with the 5 multiplying the -6, and the 2 remaining underneath the square root.
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