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Use reduction of order to solve nonlinear differential equation (a) y+xy=0) or (b) yy=(y)? or (c) x’yy-(y- xy)? = how to use reduction of order to solve nonlinear differential equation?
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Answer #1

Here, we have solved problem using reduction order (Integral)Sololion! @ yıl 2yz o -0 This equahon does not explicitly helo de the variable y . vadable yo= Peel not in ® heo Pxit a pluz Face Jeru? do < (se eef (w) 2 Izec (: The intequal excock lunchun does not have closed Rechem al J2 Ja ec cet ( 7 ) do uzz weeflue) 124 2 le-ul? do Ja 2 Now u e-u² do 124 Ja Jubstitute vz-u? -3 dor 2-2u di do z - dv 2u 3 Ñ - hevde Now Jevde Annlyz ue와u) 1 C-12 R Hoco, Reom o pot in Seci. Jeet (uldo = Jeueryu)Jie-u2 R fubs hohen 2 il z 시네 L ext 4L (-) Z e 故 Ci t Sier를 2solohon: (h) xyllz(y 12.6 The equahon sats fies the condition of homogeneity. ... ored, yze Sache The derivatives will be eq

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