A) Find the general solution of the given differential equation.
y'' + 8y' + 16y = t−2e−4t, t > 0
B) Find the general solution of the given differential equation.
y'' − 2y' + y = 9et / (1 + t2)
Second order Differential equation:
Find the general solution to [ y'' + 6y' +8y = 3e^(-2x) + 2x ]
using annihilators method and undetermined coeficients.
6) a) Find the general solution to the 2nd order
differential equation
y''+6y'+8y=0
[8 pts]
b) Find the general solution to
y''+6y'+8y=2e-x.
Use the method of undetermined coefficients. [8
pts]
c) Solve the IVP
y''+6y'+8y=2e-x,
y0=0,
y'0=0
[5 pts]
1. Find the solution of y" + 8y' = 896sin(8t) + 256cos(8t)
with y(0) = 9 and y'(0) = 9
y = ?
2. Find y as a function of x if y"' - 9y" + 18y' = 20e^x ,
y(0) = 30 , y'(0) = 23 , y"(0) = 17
y(x) = ?