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
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) =...
Find the general solution y(t) to the following ODE using (a)
Method of Undetermined Coefficients AND (b) Variation of
Parameters:
2y"-y'+5y = cos(t) - et Sin(t)
a) Using the method of undetermined coefficients, find the
general solution of yʺ + 4yʹ −
5y = e^−4x
b) Solve xy'=(x+1)y^2
c) Solve the initial value problem :
(x−1)yʹ+3y= 1/ (x-1)^2 + sinx/(x-1)^2 ,
y(0)=3