de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

e^2x^'+xe^2+6xx^'=0

Lösung

e^{2} x^{^{'}} + x e^{2} + 6 x x^{^{'}} = 0

Lösung

x = \frac{W ( \frac{6}{e ^{\frac{2 e ^{2} - c _{1} + e ^{2} t}{e ^{2}}}} ) e ^{2}}{6}

Schritte zur Lösung

e^{2} x^{'} (t) + x e^{2} + 6 x x^{'} (t) = 0

Solve separable ODE:

x = \frac{W ( \frac{6}{e ^{\frac{2 e ^{2} - c _{1} + e ^{2} t}{e ^{2}}}} ) e ^{2}}{6}

x = \frac{W ( \frac{6}{e ^{\frac{2 e ^{2} - c _{1} + e ^{2} t}{e ^{2}}}} ) e ^{2}}{6}

Beliebte Beispiele

(dy)/(dx)=4y^{-2}(x^6+x^4+x^2)

\frac{d y}{d x} = 4 y^{- 2} (x^{6} + x^{4} + x^{2})

(A+B)dy=C(x/y)dx

(A + B) d y = C (\frac{x}{y}) d x

(dv)/(dt)=60-8/100 v

\frac{d v}{d t} = 60 - \frac{8}{100} v

y^{^{'}} = - e^{- x} y

0=(y+x\frac{dy)/(dx)}{sqrt(2)sqrt(-xy)}

0 = \frac{y + x \frac{d y}{d x}}{2 - x y}