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Solve the differential equations.Some of the equations can be solved by the method of undetermined coefficients, but others cannot.$$y^{\prime \prime}-3 y^{\prime}+2 y=e^{x}-e^{2 x}$$

Calculus 3

Chapter 17

Second-Order Differential Equations

Section 2

Nonhomogeneous Linear Equations

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University of Nottingham

Lectures

12:49

Solve the differential equ…

13:35

07:44

Solve the given differenti…

06:25

03:24

Use the method of undeterm…

01:10

So we have this. These are actual equation. Why the prime? Okay, my has three. So you white Brian plus why Special too, You three x my ask you today. Two X. Well, so you want to see this old provided metal on the patients? The corresponding footing I know here is gonna be we. So they, uh, genius equation, But the so But Myers through her our square on that says the numbers of multiplying you are do on to your eye Myers clean. Do you have a, uh, minus? So my one so mobile solutions are one r equals. So some of the homogeneous solution is gonna be an exponential with conditions eggs us and see the X plus in my constant and today X on them When will sees these appear in there? Well, Brian downside accorded particular. You need to move implying those by X. So let's suppose that we see some constant a Times X, you could get plus two x. So it's what happens if we proposed particle solutions. So he But, uh, why what is gonna be Or defenses those decides A. I'm sick of the X are appreciating the site. Well, just one. Ah, ribbon sheet now for good. The side you just knew. One shaping these one differentiating that you could get two X We're gonna have X still i x So this is why crying? Why? Why double crank? There are pieces of the daredevil you did yet yet their top. This would be that evil ex would be just so line the world rules by shaving this purse they know initiated these, uh, a X I don't see the X. So those are the wreckage. Come off. There were stories. Now, with the right of all this time, we are to be returned two x on the for the last lasting for that movies there. When we appreciate first, these will help the evening still even flex. Now, I really appreciate this. You can still so more the hearts united two x simply find these. Um, so we're putting together old there old times you have here. Why, that will find would be to a move to the x plus eight x do ups. Um, plus who being law school be still be so like for me. You didn't two x was that Plus pour the x two x and so Oh, Henry, do this combination, huh? So why don't Fine, but would be Call these. So you were gonna have to. And the ex bust. Hey, Tex Mex plus four two eggs. That's four eggs. You did it to Hex. No. Minus three times. This is life, That is why Fine. So minus three times minus three else in X lost a X create the X plus B X plus Fool Who? Pigs two X minus three times these off. This part of this is you. So why crying about things to be Russ Bones. I mean, x the X plus the X. You did it to X. So this next video cold didn't clicks minus needed a into the x minus. Rex, some daddy's the text. Mama's two X. So we proposed these but this equation to see what are he's going sounds one by equating all the fucking these for that particular singer. So Well, you know this year that are Mm huh. So so be Sam Would be a x no, before the terms are half. Yes. How's ET eggs? You can notice that or decide on birthday. You're on site. You're gonna have yourself the exit. Vieques minus £3 walks with the X last group. You have one. My sleep last. Nobody's Altamont. It's here. So please term my that that is gone because it solves. There was a musical. It Selves. You've got exponents so genius equation. So no, uh, or returned that house, the term buddies decryption struggle, ex twigs. So this is like these Are you accepted? It works. Executed two X Uh huh. So or deep Also this one waas So one a three a less to a Now what? This one would be minus four b four b Oh, my nose six b plus to be that is so begin along Eastern will be sewer So that, um, flow for the coefficient dog goes with me to the eggs. We will have something because over the right inside have you already Vieques? Probably right inside. We should have one or decide we have off the stern. So minus three, a white house of equals one over to a when it's three days, But my screen so But as you can see him, you will be about a sequel to minus one from the in there because just like gold to fix. So will you are sorry, you. Why does one one word it? We'll do that inside the house or B for, uh, minus. We do. Oh, no. Minus K. Uh, yeah, he has to. Minus, Um um So the custody of minors wanted for being just so you see an almost one. So you have our solution because you know that these the homogeneous question is no more genius solution. Is these for that particular No solution. Miles minus x My ex. Did you there? X be was also in a home. So lines excuse to fix this particular on the bill. More genius is the solution. My world. Well, the general solution is gonna be the party glory. Last deal, All Jews. So this

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