Second-Order Non-Homogeneous Differential Equation Initial Value Problem (KristaKingMath)

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Second-Order Non-Homogeneous Differential Equation Initial Value Problem

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

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spent whole day reading different pdf..but did not understand..watched this 24 minute video and everything is clear...Thanks alot for this great effort:)

Idreeszaman
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Very good and clear, potentially a little slow for those that understand most of the method (for example homog eqns) but are stuck at solving with the RHS (the non homog part). 

darkhorizon
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YES, that's the best compliment you could give me!! I'm so glad it helped!! :D

kristakingmath
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I'm still confusing about the transform if the r(x)=k.e^x
For example, r(x)=3e^x, what i've learned the yp=Ae^x

HabibiAlFattah
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Thank you so much ; indeed it works way more when using the initial conditions on the general equation and not on the homogeneous equation only...

Skyweird_
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Thank you very much. You answered all my questions. Very clear and nice explanation and hand writing. Thanks again!

sarahsal
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Thank YOU so much for the comment! It makes me happy. :)

kristakingmath
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I was just looking for solving these problems with initial condition! Nice Work!

wesleyw
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first of all i would like to thank you very much for teaching this stuff madam.i want you to tell me the answers to these problems i got in my exam.
1. y’’- λ2y =sin2x is the differential equation .What is the solution?
2. Find the length of the arc of the curve y = │x-1│+│x-2│ from x=1 to x=3

thank you very much once again

jeshpaul
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Reallly helped…. Got a test in 4 hours👍🏼

kofiowusu
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SO happy you are not my professor. I can not focus, your voice is amazing :D BTW, the video is great

sahandbagheri
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nice job!
you are the best, keep it up
for me just tone of your voice makes me watch all your math videos

westonmulenga
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very helpful, Keep helping us the student please. Your help is highly appricated.
Thanks

matzzcoizzyboy
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try a particular solution of y_p=A, instead of y_p=Axe^x. i haven't worked that out, but it's a good first guess! :)

kristakingmath
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thank you for this video. i actually understand the concept now :)

akigamingnetworkagn
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Cheers! got an exam on this tomorrow. Much easier to understand! However i prefer to leave Yp in the form of Ae^x. Didn't get confused by it and found the calculations easier. :) keep up the good stuff

polywolf
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Thank you very much.
You have done a great job.
I love the way, you explain, everything details.

bijoy
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You have to use the integrating factor method. I don't have a video on it yet, but if you type "integrating factor method for second-order differential equations" into YouTube, I'm sure you'll find one! :)

kristakingmath
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The answer is supposed to be e^-x ( 8x^2 + 4x + 1)
if guess the particular solution to be xe^-x (Ax + B) from where does the constant term ( 1 ) shown in the answer come from?

shwethashukla
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Hope you make more videos until i finish my math major! Your a great instructor

em