What is the solution for y^{''}-xy^'+y=0 ?

The solution for y^{''}-xy^'+y=0 is y=x*integral of (e^{(x^2+c_{1})/2})/(x^2)

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y^{''}-xy^'+y=0

y^{^{''}} - x y^{^{'}} + y = 0

y = x \cdot \int \frac{e ^{\frac{x ^{2} + c _{1}}{2}}}{x ^{2}} d x

Solution steps

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

Solve using substitution:

y = x \cdot \int \frac{e ^{\frac{x ^{2} + c _{1}}{2}}}{x ^{2}} d x

y = x \cdot \int \frac{e ^{\frac{x ^{2} + c _{1}}{2}}}{x ^{2}} d x

What is the solution for y^{''}-xy^'+y=0 ?
The solution for y^{''}-xy^'+y=0 is y=x*integral of (e^{(x^2+c_{1})/2})/(x^2)