MTH 425 Lecture : 3 Linear first-order DEs
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2. 3 in book standard form day 1 pay qcx. Linear de pix ii y day day 54 cos x y. 5 nonlinear iii x"dy tetdx t feel so o nonlinear. Ieymeaetnous mix s est"d specific derivative by a one i. If function no that the entire lhs become integrating factor. I espeax my reverse product rule g fespindxy y ga espixedx of t y elpadxy gexelpmidx fog t y efpmdxjdx fqexe. fm"d ed fifty efpmdxjdx fqexe. fm"d ed y espex dx fgexelp d x d. De must be put in this procedure applying. Now solve for y to get the explict solution to de standard form befory. Xedgy y dy ey x dy y 2x x dx you i. 1 me de e lnixite ell y tell c we. Cz e 1 get an entire family of. 0 i e an erring c name int. Xtc x h x ex general solution t caution replace bycs do not.