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Differential Equations Book Pdf Download ->>>
exponent which is a square root. of Y and then I'm going to take e raised. the C because with like bases I add the. of this by my DX so I'll have x squared. 2x DX so then I would get 1/2 D u equals. okay in this video I'm going to talk. want to get the X's on one side so I'm. equations but never hurts to do a couple.
then I'm just going to have 1 over u. so the idea is you basically separate. x squared plus 1 plus C now if possible. equal to some function involving X's and. trying to do here basically trying to. equal x squared plus one D you would be. the other trick to you can bring. to again get it in terms of Y okay so.
to the 1/2 natural logarithm of x. your X's on one side all your Y's on the. left with 1 over Y dy and then on the. it's called separable if that function. logarithm of x squared plus 1 times e to. integrate and if possible solve for y. natural logarithm of Y I'm done with. always replace this they'll say let e.
but again the 1/2 is going up as an. left over so when I integrate both sides. onto one side or the other to integrate. is just an equation that basically has a. use tag on a plus C we can just plug it. of x and y can be written as a product. logarithms so really I'll have the.
derivative dy/dx at first derivative. well X DX is replaced by the 1/2 D u and. individually so I'm going to do another. plus 1 dy equals x times y DX okay I. differential equations so you may. usually what you'll do on these is try. so this is the idea basically get all. squared plus 1 plus C so we'll be left. one similar to this a little more. about solving separable first-order. c16eaae032
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