Good luck!

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Gloamglozer

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Re: Good luck!

« Reply #15 on: November 06, 2009, 01:15:54 pm »

0

Quote from: TrueTears on November 05, 2009, 09:48:26 pm

Also remember for a homogenous linear differential equation $a_n \frac{d^nx}{dt^n} + \cdots + a_1 \frac{dx}{dt} + a_0 x = 0$ , the general solution will have the form $x = \sum_{k=1}^{n} c_k e^{\lambda_k t}$ where $\lambda_k$ is a solution of $a_n \lambda^n + \cdots + a_2 \lambda^2 + a_1 \lambda + a_0 = 0$

[just kidding ]

I was just reading it thinking, "Am I on drugs or is TT actually serious?" lol

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TrueTears

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Re: Good luck!

« Reply #16 on: November 06, 2009, 01:18:07 pm »

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Quote from: Gloamglozer on November 06, 2009, 01:15:54 pm

Quote from: TrueTears on November 05, 2009, 09:48:26 pm
Also remember for a homogenous linear differential equation $a_n \frac{d^nx}{dt^n} + \cdots + a_1 \frac{dx}{dt} + a_0 x = 0$ , the general solution will have the form $x = \sum_{k=1}^{n} c_k e^{\lambda_k t}$ where $\lambda_k$ is a solution of $a_n \lambda^n + \cdots + a_2 \lambda^2 + a_1 \lambda + a_0 = 0$

[just kidding ]

I was just reading it thinking, "Am I on drugs or is TT actually serious?" lol

lol just copying Mao's love for DE's

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