[URGENT= will give BADGE] I need help finding the wronskian of these four functions...

Question

anonymous · Answer

$$y= 1, y = t, y= \cos (t), y= \sin (t)$$

anonymous · Answer

@nader1

anonymous · Answer

isnt it 4x5, since the funtion goes on top?

anonymous · Answer

or does the equation given with matter at all?

anonymous · Answer

like $$y ^{4} + y ^{2} = 0$$

anonymous · Answer

i guess that part is confusing me...

anonymous · Answer

ok im given that equation above and give 4 solutions that I checked are solutions and now I have to find their Wronskian. Can you help?

anonymous · Answer

@Hoa

anonymous · Answer

those are derivatives by the way.

anonymous · Answer

$$y \prime \prime \prime \prime + y \prime \prime = 0$$

anonymous · Answer

@nincompoop

anonymous · Answer

can u just answer me this:

anonymous · Answer

can u please write out the 2nd part of the Wronskian only

anonymous · Answer

i already know the first stage...but am messing up somewhere on the 2nd stage

anonymous · Answer

when it's down to the 3x3 matrices

anonymous · Answer

only the first term matter in the 2nd stage, the rest are zeros.

anonymous · Answer

so can u help me?

anonymous · Answer

im getting the wrong sign at the end...

anonymous · Answer

$$\cos (t) - \sin (t) $$

anonymous · Answer

The answer should be 1.

anonymous · Answer

i meant $$\cos ^2 (t) - \sin ^2 (t)$$

nincompoop · Answer

sorry, my computer wasn't loading properly

nincompoop · Answer

pretty @FibonacciChick666 got this though. she's good ;)

fibonaccichick666 · Answer

haha thanks @nincompoop ,  so i'm just figuring out how to write this give me a sec.

fibonaccichick666 · Answer

ok so I interpreted this as a parameterization wrt t.  this gives us a 3x3 matrix for calculating the wronskian.  as shown below
$$\left[\begin{matrix}t & \cos t & sint \1 & -sint & \cos t\ 0 & -\cos t & -sint \end{matrix}\right]$$

fibonaccichick666 · Answer

does this help? and do you see the answer now?