Math Challenge

#01-001

The answer is whatever the answer is. Be sure to write it in math runes or your teacher wool mark you wrong.

0/10 shitpost

>"My Differential Equations Homework Challenge"

If Differential Equations is over your heads, that's alright. It's not your fault.

Y = MatrixExp[ A t] Y_0

#01-002
Next one

Vector Matrix notation from Linear Algebra

Solved by simple integration.

not quite

Solution to #01-002

Here's the work behind it

write as complex numbers
[math]f=\tfrac{3}{t}-i[/math] and [math]g=t-ie^{-t}[/math]
the imaginary part of [math]f^*g[/math] is the cross product. (real part is dot prod of course)
so

[math](f^*g)' = f^*'g+f^*g' = -3t^{-2}(t-ie^{-t}) +( 3t^{-1}+i)(1+ie^{-t})[/math]

Just taking the imaginary part now

[math]3t^{-2}e^{-t} + 1+3t^{-1}e^{-t}[/math]

Not OP but this looks comfy, thanks

unfortunately no one can be told
what the matrix is, you have to
see it for yourself.

OP give us a problem that has defective coefficients.

You know, the real shit.

>Generalized eigenvectors
*shudders in fear*

studying this shit for my Applications in Linear Algebra final on wednesday. noice synchronicity.

>comfy
When will teenagers stop spamming this word like it's going out of style

Duh, its a buzzword. What do you expect.

>math isn't comfy
you do not belong here

Homework threads are against the rules.