term1 Definition1term2 Definition2term3 Definition3
Please sign in to your Google account to access your documents:
How do we solve nonconstant coefficients SODE? What does that type look like?
A(t)y'' + B(t)y' + C(t)y = 0
We solve it using the reduction of order method given y₁. This eqn is y₂= vy₁ where v=∫[e^(-∫p(t)dt)]/y₁², so
y₂=y₁∫[(e^-∫p(t)dt)]/y₁²
When the method of undetermined coefficients does not work, what method do we use? What eqn is it?
We have a yp =u₁y₁ +u₂y₂, where,
u₁ = -∫y₂g(t)/W dt
u₂ = ∫y₁g(t)/W dt
and thus our final general soln is
yg = yh + yp = C₁y₁+C₂y₂ + u₁y₁ + u₂y₂
so its still necessary to find yh. Also do not add more constants for yp, the constants for our general soln are taken care of in yh.
blank dog
yaaa blank
Need help typing ? See our FAQ (opens in new window)
Please sign in to create this set. We'll bring you back here when you are done.
Discard Changes Sign in
Please sign in to add to folders.
Sign in
Don't have an account? Sign Up »
You have created 2 folders. Please upgrade to Cram Premium to create hundreds of folders!