# First Oder Linear Differential Equation

Discussion in 'Math' started by Lightfire, Jan 11, 2014.

1. ### Lightfire Thread Starter Well-Known Member

Oct 5, 2010
690
21

I knew the answer would be

But I do not know how the step-by-step process.

The integrating factor is something like, based from what I know is:

But how do I evaluate the last or is it the final asnwer. Or am I totally incorrect at the first place or is the given a First Oder Linear Differential Equation?

Thank you~!

2. ### t_n_k AAC Fanatic!

Mar 6, 2009
5,448
782
It's reasonable to make the observation that the solution would be of the general form:

$y=a_0+a_1x+a_2x^2+a_3x^3+...$

After an intuitive truncation of the general form, substitution into the original equation should enable the solution of the unknown co-efficients.

One might also ask the question is this actually a linear DE example? This might explain why it can't be solved by your proposed method.

Last edited: Jan 13, 2014
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