AS.110.302 Lecture Notes - Lecture 3: 4X, If And Only If
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Use produce race f x so we can f x y general form day. 4 c x 2 y we can multiply our new if fzcx t f x equation by itcx s t f cx is derivative of fz ex ycx is called the integrating factor e 2e. Ex day 2cg e e2 let yal e2ddy 2e2 y d e 2. 5 e2x ycx y lead pcxt qkxly eecxly. ee pox ell cx. General form of integrating faceon day play gcx quay"t ycx1pcxly gun ycx. 1 find keycx espcadx to solve y t play g x e spend originalequationby ie 2 reverse productrule and integrate to obtain qcxly sy x g x dx. 21hcx xz e if f x y can beseparated into g x h y consideredseparable the equation is f4x3dx. Ex x y 24 4 2 y zx y. Sd y xz ex 2 separableequations d ddy fcx y g x high fly dy fgcx dx.