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(b) (30 points) Solve the following IVP given that yı (x) = x and y2 (x) = x3 are solutions to the corresponding homogeneous

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Answer #1

let us put x=eZ then J dy dae dy 1 dy d2 ez dre d a dy dz dy de da .dy d 은 dx - deya + x dy dy v da dZ dy dz dy d근에 dz du NoNow we see that tani (ez) - e 일근 d2 } +om (e) · 1 2 dz 142 22 = +on(e) , et 군 히 dz ite2 22 +or (e) - - 호 2 e + S dz +a (ed)From (j and (ii) we get that 2 C = C2 = - 8 So i = 글 - t - - 글 4 8 So the solution 18 g Ca) (-) 좋3 글 ta (41) 원

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