de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Beliebte Beispiele

integral of (x^{1/3})

\int (x^{\frac{1}{3}}) d x

derivative f(x)=x(x+3)^3

d er i v a t i v e f (x) = x (x + 3)^{3}

derivative of (1+x^2/(1+y^2))

\frac{d}{d x} (\frac{1 + x ^{2}}{1 + y ^{2}})

limit as x approaches 0 of (ex)/x

x \to 0 lim (\frac{e x}{x})

integral from pi to (3pi)/2 of xsin(x)

\int_{π}^{\frac{3 π}{2}} x sin (x) d x