Thread: ODE and Linear Algebra

y'' = +λ^2*y
Show cosh( λt) and sinh( λt) form an alternate basis for our
λ^2– eigenspace.

Any help fellas?

Originally Posted by thehollow89

y'' = +λ^2*y
Show cosh( λt) and sinh( λt) form an alternate basis for our
λ^2– eigenspace.

Any help fellas?

You just need to show that and are linearly independent (here it is assumed that ) solutions to the differencial equation. To see that just use the Wronskian.