Use method of undetermined coefficients to find a particular
solution of the differential equation ?′′ + 9? = cos3? + 2. Check
that the obtained particular solution satisfies the differential
equation.
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
Solve boundary value problem, use the method of undetermined
coefficients when you solve for the particular solution
y'' + 2y' + y = e-x(cosx-7sinx)
y(0)=0
y(pi) = epi
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
Consider the following initial value problem to be solved by
undetermined coefficients. y″ − 16y = 6, y(0) = 1, y′(0) = 0
Write the given differential equation in the form L(y) = g(x)
where L is a linear operator with constant coefficients. If
possible, factor L. (Use D for the differential operator.)
( )y = 16
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
y''+2y'+5y=3sin(2t)