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)
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 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
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.
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)
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
y''+4y=3csc2t
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'+y=2e^t
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
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'+y=2e^{-t}