First Oder Linear Differential Equation

Thread Starter

Lightfire

Joined Oct 5, 2010
690


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~!
 

t_n_k

Joined Mar 6, 2009
5,455
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.
 
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