Hello,

Given is Who can I solove this? Who can do this step by step?

Greets Thanks .

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- Jun 25th 2006, 10:35 AMBertDe.
Hello,

Given is Who can I solove this? Who can do this step by step?

Greets Thanks . - Jun 25th 2006, 01:09 PMJameson
By the title "DE", is this a differential equation? Does your equation mean y''''+4y=0?

- Jun 25th 2006, 04:38 PMThePerfectHackerQuote:

Originally Posted by**Bert**

---

If,

The charachteristic equation is,

Thus,

The solutions are,

Since the solutions are complex conjakates thus the general solution is,

- Jun 26th 2006, 12:15 AMBert
who do you get those complex solotions?

- Jun 26th 2006, 02:18 AMBert
can you put into the ct?

- Jun 26th 2006, 10:36 AMThePerfectHackerQuote:

Originally Posted by**Bert**

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Method 1) (Informal but it works!)

Thus, (square root),

If

Take square roots,

But, Thus,

There are hence 4 possibilities (based on plus minus signs).

Finally if,

then by the same argument you get the same solutions, as before. - Jun 26th 2006, 10:48 AMThePerfectHacker
Method 2) (The is the elegant way. [My method if you are curious was to guess and play around with the roots cuz I was too lazy to work it out])

You have,

Express this in polar form,

Now apply, de Moivre's theorem

And the roots are,

one for each value of . And

You get your solutions.

- Jun 26th 2006, 12:54 PMBert
O yes thenk you very wel I see Greets.