Recent content by ohspyro89

I hope I can make this understandable. I'm working on a design to utilize combustion of propane to cycle a piston. I'll attach a gif to make it more simple to understand. When the cylinder is filled with an ideal 4% of propane (green) it'll combust (turns yellow) to push back the cylinder...

Oh, I forgot to put them back in once I got the integral off of my calculator. Will do though, thanks for the help! Differential equations will be the death of me, I'm tired of getting terrible grades.

How's this look? I fixed the quadratic I think.

Well, I took the advice as it looked easier, but I see what you mean. Integrating this is stupid, thank god for TI-89. I'm getting a terribly ugly answer though, but I think it's correct.

Am I on the right track? Also, do I just derive the final function since I substituted y'=z?

How's this? I got a constant to be zero, which seems odd to me. Is this the right general solution?

*Face-Palm* Alright, I'll work on it. Thanks guys! Also, was I right to get rid of one of the +-i for the undetermined coefficients part? So, now I don't have a D and E to worry about, but it covers the cosx-sinx.

Homework Statement Find the general solution to y''-2y'-24y=50e6x-14cos(x)-175sin(x) Homework Equations I can't figure out how to solve for B,C,D, and E. I'm wondering if I did something wrong. The Attempt at a Solution I'm attaching photos, since it'd take forever to type this...

Thanks! I'm sure I'll be back with more questions on this problem. But for another one, am I correct when doing undetermined coefficients that for 50e6x-14cos(x)-175sin(x) that M=6, +-i, +-i?

Woops. Should be x3y'''-9x2y''+76xy'=0

I have no idea how to do that. What we have covered is Undetermined Coefficients, variation of parameters, and Cauchy-Euler Equations... We definitely haven't hit series stuff. Any other ideas?

Homework Statement Find the general solution to x3y'''-9x2y''+76xy'=0 Homework Equations I'm kind of confused on where to start. I'd suppose you'd throw in y=emx but I'm not positive since there are Xs in there. Once I know what to do with the x terms, I can just find all the roots and that'll...

Forgive me if I am wrong. But I would find how far he would go in 5 Minutes at 65 Miles an hour. That's about 5.42 miles. Then just add the half mile your friend was in front of you, so 5.52 miles. Then just figure out how quickly you would need to go to go 5.52 miles in 5 minutes. D=VT...