Question

1. Find a particular solution of x′′ + x = 8 cos^2 t using the
method of undetermined coefficients.

Answer #1

2.
Find a particular solution of x′′ + x = 8 cos^2 t using the method
of variation of parameters.

Find a particular solution to the differential equation using
the Method of Undetermined Coefficients. 4.4.22
x''(t) - 10x'(t) + 25x(t) = 144t^2 * e^5t

Find a particular solution to the differential equation using
the Method of Undetermined Coefficients. x''(t)-18x'(t)+81x(t)=5t *
exp(9t)

Find a particular solution to the differential equation using
the Method of Undetermined Coefficients.
y''-4y'+8y=xe^x

Differential Equations
Using the method of undetermined coefficients find the Yp
(particular solution) of the differential equation: y’’ - y = 1 +
e^x

Find a particular solution to the differential equation using
the Method of Undetermined Coefficients. 6y''+4y'-y=9

y1 = 2 cos(x) − 1 is a particular solution for y'' + 4y = 6
cos(x) − 4. y2 = sin(x) is a particular solution for y''+4y = 3
sin(x). Using the two particular solutions, find a particular
solution for y''+4y = 2 cos(x)+sin(x)− 4/3 . Verify if the
particular solution satisfies the given DE.
[Hint: Rewrite the right hand of this equation in terms of the
given particular solutions to get the particular solution] Verify
if the particular...

For the method of undetermined coefficients, the assumed form of
the particular solution:
Find Yp=
Show all work.
yp for y'' − y' = 8 + ex is yp
=

Find the particular solutions yp of the following
EQUATIONS using the Method of Undetermined Coefficients. Primes
denote the derivatives with respect to x.
y''-y'-6y=29sin(3x)
y''-5y'+8y=xex
Solve for the particular solution of both equations!

Use method of undeterminde coeficients to find a particular
solution to x'= A(x) + g(t)
[ 1 1]
[4 -2]
and g(t) = [e^2t]
[e^t]

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