Homework Statement
solve the ivp using laplace tranforms
y''+2y'+2y=0 y(0)=1 y'(0)=-3
Homework Equations
The Attempt at a Solution
get to Y(s)[s^2+2s+2]=s-1
Y=(s-1)/[s^2+2s+2]
^^^
don't know how to simplify the denominator to solve using Laplace transforms. If I had...
10. Consider the equation *) y'' + y = exp(-x^2)sec(x). Solutions of the corresponding homogeneous equation are of course cos(x) and sin(x).
We want a particular solution yp of *).
a) Try to use undetermined coefficients to find yp.
b) Try to do it using variation of parameters.
c) Both...
Use the variable change u = ln(y) to solve the IVP dy/dt = -y ln(y), y(1) = 2?
We haven't covered this in class yet so I do not know where to even start.