Recent content by ohspyro89

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    Undergrad Propane Combustion (btu/ft^3) how fast it'll move a piston

    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...
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    Finding general solution of non-linear, homogeneous ODE

    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.
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    Finding general solution of non-linear, homogeneous ODE

    How's this look? I fixed the quadratic I think.
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    Finding general solution of non-linear, homogeneous ODE

    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.
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    Finding general solution of non-linear, homogeneous ODE

    Am I on the right track? Also, do I just derive the final function since I substituted y'=z?
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    Finding general solution of linear ODE inhomogeneous

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

    *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.
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    Finding general solution of linear ODE inhomogeneous

    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...
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    Finding general solution of non-linear, homogeneous ODE

    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?
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    Finding general solution of non-linear, homogeneous ODE

    Woops. Should be x3y'''-9x2y''+76xy'=0
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    Finding general solution of non-linear, homogeneous ODE

    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?
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    Finding general solution of non-linear, homogeneous ODE

    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...
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    Solve Vectors Question: Catch Friend in 5 Min on Interstate 83

    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...