1. Homework Statement
Why does the following ODE ALWAYS have two linearly independent solutions?
x''(t) + a(t) x'(t) + b(t) x(t) = f(t)
The characteristic polynomial argument is not sufficient?
Hello fellow PF members
I was wondering how one would go about finding the lagrangian of a problem like the following:
A particle is constrained to move along the a path defined by y = sin(x).
Would you simply do this:
x = x
y = sin(x)
x'^2 = x'^2
y'^2 = x'^2 (cos(x))^2...
1. Homework Statement
Solve the following differential equation:
2. Homework Equations
2 y (y'')^2 + 2 y y''' y' -2 (y')^2 y'' = - (y')^2
3. The Attempt at a Solution
I don't know if the following is useful, but if you divide both sides by y^2, the LHS of the above...