- #1
Pr0x1mo
- 21
- 0
Ok, the question/equation is
y^4 + y = 0
Now i know that the characteristic equation is m^4 + 1 = 0
and if i would to solve that it would give me plus or minus 1i as a complex root. so the general solution would be:
c1cos(x) + c2sin(x) but i know this is not the answer because since its a 4th degree, it should have 4 roots, repeated or not.
When i rant it thru wolframalpha, it gave me this: http://www.wolframalpha.com/input/?i=d^4y%2Fdx^4+%2B+y+%3D+0
How did it get to that answer?
y^4 + y = 0
Now i know that the characteristic equation is m^4 + 1 = 0
and if i would to solve that it would give me plus or minus 1i as a complex root. so the general solution would be:
c1cos(x) + c2sin(x) but i know this is not the answer because since its a 4th degree, it should have 4 roots, repeated or not.
When i rant it thru wolframalpha, it gave me this: http://www.wolframalpha.com/input/?i=d^4y%2Fdx^4+%2B+y+%3D+0
How did it get to that answer?