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.
Find a particular solution yp of the following
EQUATIONS using the Method of Undetermined Coefficients. Primes
denote the derivatives with respect to x.
y''-16y=cos h(4x)
y''+36y=12cos(6x)+18sin(6x)
y''+4y'+8y=325e2tcos(5t)
y(5)+6y(4)-y=12
y(5)+2y(3)+2y''=8x2-2
SOLVE ALL ~ do ur besest (:
Consider the following differential equation to be solved by the
method of undetermined coefficients.
y'' + 6y =
−294x2e6x
Find the complementary function for the differential
equation.
yc(x)
=
Find the particular solution for the differential equation.
yp(x)
=
Find the general solution for the differential equation.
y(x) =
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) =...
Use the method of Undetermined Coefficients to find the solution
of the initial value value problem:
y'' + 8y' + 20y = 9cos(2t) - 18e-4t, y(0) = 5. y'(0)
= 0
Solve the following linear equations with constant coefficients,
using characteristic equations and undetermined coefficients as
needed.
y''+4y'-12y=x+e^2x y(0)=1,y'(0)=2