Math Challenge

>>8221056
The answer is whatever the answer is. Be sure to write it in math runes or your teacher wool mark you wrong.

>>8221082
0/10 shitpost

>>8221056
>"My Differential Equations Homework Challenge"

File: An Easy Math Problem3.png (16KB, 281x562px) Image search: [Google]

16KB, 281x562px

>>8221056
If Differential Equations is over your heads, that's alright. It's not your fault.

>>8221056
Y = MatrixExp[ A t] Y_0

File: Vector Calculus.jpg (12KB, 476x177px) Image search: [Google]

12KB, 476x177px

#01-002
Next one

>>8221113
Vector Matrix notation from Linear Algebra

>>8221114
Solved by simple integration.

File: Vector Calculus2.jpg (3KB, 236x60px) Image search: [Google]

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>>8221122
not quite

>>8221114
Solution to #01-002

File: Vector Calculus2.png (30KB, 615x601px) Image search: [Google]

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>>8221126
Here's the work behind it

>>8221114
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]

>>8221109
Not OP but this looks comfy, thanks

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

>>8221056
OP give us a problem that has defective coefficients.

You know, the real shit.

>>8221248
>Generalized eigenvectors
*shudders in fear*

>>8221056
studying this shit for my Applications in Linear Algebra final on wednesday. noice synchronicity.

>>8221169
>comfy
When will teenagers stop spamming this word like it's going out of style

>>8221354
Duh, its a buzzword. What do you expect.

>>8221354
>math isn't comfy
you do not belong here

Homework threads are against the rules.