YAMT: A very quick question

[VTboy]

The Wronskian of a homogeneous linear differential equation does not equal 0 if and only if the set of solutions to the differential equation are linearly independent.

Is this statement true.

 

[Nohr]

*brain implodes*

 

[SaintGRW]

I came up with 3 for my answer....

 

[Saulbadguy]

Wronski Feint!

 

[AgentEL]

:: shakes 8-ball ::

The answer is "Yes."

 

[EngenZerO]

whats your math book say?

 

[scauffiel]

These aren't the droids you're looking for.

 

[Hammer]

69 dude! *plays air guitar*

 

[raptor13]

If I remember correctly, the determinate of the Wronskian equals if the equations ARE independant.



But, to be sure, check in your damned book.

 

[Heisenberg]

If the Wronskian is nonzero, then the solutions are linearly independent and form a fundamental set.