A. Use the method of undetermined coefficients to find one
solution of
y′′ − y′ + y =
4e3t.
y(t)=
B. Find a particular solution to
y′′ − 2y′ + y =
−16et.
yp=
C. Find a particular solution to the differential equation
y′′ + 7y′ + 10y =
200t3.
yp=
D. Find a particular solution to
y′′ + 6y′ + 5y =
20te3t.
yp=
E. Find the solution of
y′′ + 6y′ + 5y =
45e0t
with y(0) =...
(1 point) Use the method of undetermined coefficients to find a
solution of
y′′−4y′+33y=64e2tcos(5t)+64e2tsin(5t)+2e1t.y″−4y′+33y=64e2tcos(5t)+64e2tsin(5t)+2e1t.
Use a and b for the constants of integration associated with the
homogeneous solution. Use a as the constant in front of the cosine
term.
y=yh+yp=
Use the method of Undetermined Coefficients to find a general
solution of this system X=(x,y)^T
Show the details of your work:
x' = 6 y + 9 t
y' = -6 x + 5
Note answer is: x=A cos 4t + B sin 4t +75/36; y=B cos
6t - A sin 6t -15/6 t