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 (:
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 the initial value problem. Use the method of undetermined
coefficients when finding a particular solution. y'' + y = 8 sin t;
y(0) = 4, y' (0) = 2
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. 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 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)