de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

x^2(dy)/(dx)+x(x+2)y=e^x

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of 7/((x-3)(x+4))

\int \frac{7}{( x - 3 ) ( x + 4 )} d x

laplacetransform e^{-t/4}

l a pl a ce t r an s f or m e^{- \frac{t}{4}}

limit as t approaches 1 of e^{4t}

t \to 1 lim (e^{4 t})

(dy)/(dx)-4y=x^6e^x

\frac{d y}{d x} - 4 y = x^{6} e^{x}

derivative y=5xe^xcsc(x)

d er i v a t i v e y = 5 x e^{x} csc (x)