Find the general solution of the following
differential equations (complementary function
+ particular solution). Find the particular solution by inspection
or by (6.18), (6.23),
or (6.24). Also find a computer solution and reconcile differences
if necessary, noticing
especially whether the particular solution is in simplest form [see
(6.26) and the discussion
after (6.15)].
(D2+2D+17)y = 60e−4x sin 5x
.1. a.) By inspection, find a particular solution of 2?′′ − 5?
= 13
b.) By inspection, find a particular solution of
2?′′−5?= −27?
c.) Find a particular solution of
2?′′−5?= −27?+13
d.) Find a particular solution of
19,378.47?′′+35? = 6−56?
How do you find the complementary solution of a nonhomogeneous
differential equation? Could someone give me a general rule or few
rules to find the complementary solution based on the appearance of
the given equation or the roots of the given equation? Thanks
1. For the following function ?(?) = (?^2−8?+16) / (?^2−4)
a. Find the critical values
b. Use the FIRST DERIVATIVE TEST to determine the intervals
where the function is INCREASING and DECREASING.
c. Find the RELATIVE EXTREMA of the function and state where
they occur.
d. Find the ABSOLUTE EXTREMA of the function on the interval
[−1, 1.75]
1.) Let f′(x) = 3x^2 − 8x. Find a particular solution that
satisfies the differential equation and the initial condition f(1)
= 12.
2.) An object moving on a line has a velocity given by v(t) =
3t^2 −4t+6. At time t = 1 the object’s
position is s(1) = 2. Find s(t), the object’s position at any
time t.
how to find the complementary genomic sequence of this
oligonucleotides, please explain how to do find it.
Oligo 1 5’-CGCTAGGATCGAACCATACTCGGAC-3’
Oligo 2 5’-CATAGAATTTACGCATACCTAAGAT-3’
Oligo 3 5’-TACGTACGTACGCGTACGTACGTA-3’