x^2y^{''}-xy^'+y= 1/x

Lösung

x^{2} y^{^{''}} - x y^{^{'}} + y = \frac{1}{x}

y = c_{1} x + c_{2} ln (x) x + \frac{1}{4 x}

Schritte zur Lösung

x^{2} y^{''} (x) - x y^{'} (x) + y = \frac{1}{x}

Solve linear ODE:

y = c_{1} x + c_{2} ln (x) x + \frac{1}{4 x}

y = c_{1} x + c_{2} ln (x) x + \frac{1}{4 x}

\int_{0}^{0.5} 500 x d x

\int_{0}^{16} x e^{- x} d x

x \to 0 - lim (\frac{11}{tan ( x )})

\int \frac{( 2 x - 4 )}{( x - 2 ) ^{2}} d x

\frac{d y}{d x} = e^{- 2 x}