First Order Linear Differential Equations
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Uploader Comments (patrickJMT)
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Left side integration would be a reverse product rule.... But as my professor say, it should always come out as a derivative for a product rule
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Patrickjmt when doing the left side there is supposed to be a minus sign instead of a plus sign when multiplying e to the -x squared.
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@tadm123 we already have the solution for integrating it. The whole point of integrating factors is so that hte left side looks like the product rule for the derivative of our integrating factor multiplied by the function we're trying to solve for.
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@choibean21 the whole point of adding an integrating factor is so that the left side rule looks like the product rule for the derivative of two functions multiplied by each other. So when you work backwords...you already have the answer. It's just the integrating factor mulitplied by the function we're trying to solve. Convince yourself by differentiating the integrating factor multiplied by the function we're trying to solve.
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THANKS
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I cant understand how did you integrate the left side.. im quite slow.
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partrickJMT > khanacademy
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Hm sorry but how do you integrated the left side? did you use int. by parts?
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Just took an exam on this last week. We got our exams back today and the class average was a 55% and I got a 95% and I credit these videos for my high score. You sir are awesome.
KimJong7hrill 2 months ago 20
@KimJong7hrill tell everyone about the videos! congrats on your good grade : )
patrickJMT 2 months ago 3
My lecturer is pretty damn good at this.
But you're better.
RanmaruKyurei 3 months ago 9
@RanmaruKyurei : )
patrickJMT 3 months ago
Half the time in my calc class when my teacher is teaching us something new i always say to myself, "Ima go home later tonight and learn this via PatrickJMT" lol
HirosAwp 3 months ago 17
@HirosAwp ha ; ) i have most calc stuff fortunately!
patrickJMT 3 months ago