(ODE) Alright, now dealing with nonhomogeneous equations. Prompt posted below in a moment.

Question

mendicant_bias · Answer

http://i.imgur.com/lJsRaj0.png

mendicant_bias · Answer

Upper limit should be infinity, doesn't display properly in the PDF. Thinking about how to solve this before proceeding, one minute.

mendicant_bias · Answer

@ganeshie8 , is this the same just plug and chug, where I take the given solutions, take their derivatives as necessary, and see if the equality sticks?

mendicant_bias · Answer

And I can just arbitrarily plug values cor c_1 and c_2, right? Like I could just put one in both of their places for the sake of simplicity.

mendicant_bias · Answer

@Kainui

mendicant_bias · Answer

But yeh, is this the right idea?

mendicant_bias · Answer

brb, 3 minutes.

unklerhaukus · Answer

yeah take the derivatives of that solution, and try them out,

but make sure the constants remain different

mendicant_bias · Answer

Back, had to take care of something really quick.

mendicant_bias · Answer

"Make sure the constants remain different"-wait, what does that mean? So you can't actively evaluate or plug in values for the constants, or how do you deal with them in this sense?

anonymous · Answer

I believe Unkle means "distinguish between $c_1,c_2$", as in keep in mind that they're not necessarily equal.

mendicant_bias · Answer

Alright. I think I'm just going to go ahead and, erm....rest my head for an hour or two in the library...

mendicant_bias · Answer

Maybe get back to this later, but I'm fading right about now.

unklerhaukus · Answer

yeah, keep them as $c_1,c_2$, the algebra should sort them out