What is the solution for x^2y^{''}-xy^'+y-ln(x)=0 ?

The solution for x^2y^{''}-xy^'+y-ln(x)=0 is y=c_{1}x+c_{2}ln(x)x+ln(x)+2

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x^2y^{''}-xy^'+y-ln(x)=0

x^{2} y^{^{''}} - x y^{^{'}} + y - ln (x) = 0

y = c_{1} x + c_{2} ln (x) x + ln (x) + 2

Solution steps

x^{2} y^{''} (x) - x y^{'} (x) + y - ln (x) = 0

Solve linear ODE:

y = c_{1} x + c_{2} ln (x) x + ln (x) + 2

y = c_{1} x + c_{2} ln (x) x + ln (x) + 2

What is the solution for x^2y^{''}-xy^'+y-ln(x)=0 ?
The solution for x^2y^{''}-xy^'+y-ln(x)=0 is y=c_{1}x+c_{2}ln(x)x+ln(x)+2