1) . Solve the IVP:
y^''+6y^'+5y=0, y(0)=1, y^' (0)=3
2. Find the general solution to each of the following:
a) y^''+2y^'+5y=e^2x
b) y^''+2x/(x^2+1) y'=x
c) y^''+4y=1/(sin(2x)) (use variation of parameters)
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) = ?