MATH 2414 Lecture Notes - Lecture 7: Thx

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A differentiable equation of the form dydi is called a separable equation to solve evaluate the integral equation. Implicit y x cosx 1c y ey thx 1c y2. Sy2dy fyes g3 xs13c y3 x3 c y 8 37. Cgoes onright side implicit solution togetexplicit absorbs 3 solvefor y explicit solution. S6x2dxy2 sing 2 3 1c y 1 a 0. 2 y"tsing 2 3 2 leavein implicit form notreallyaway tosolve for y. 2y find the explicit general solution y x"y dy_ x"dx y. 1 1 y ae"s y ex missing 0 ex. Ty can a be 6 if yco o validsolution or not find the explicit general solution can factor1separate tp 2ptt 2 dd dp. Dp s t 2 dt at 1c at. If thegrowth of p isproportional to p then. If a population would follow the natural growth model but has a constant number c of members arriving in each time interval then.

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