How to covert this differential equation into a system of one order ODE?(adsbygoogle = window.adsbygoogle || []).push({});

x^2*y''-2*x*y'+2*y = 0;

y(1) = 4; y'(1)=0;

solve for y(x)

I tried to convert it

get

X' = AX

in which

X = [y, z]'

A = [0, 1; 2/x^2, 2/x];

But x exists in A, which cannot solve by dsolve in Matlab.

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# How to covert this differential equation into a system of one order ODE?

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