de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)+y= 1/(1+e^x)

Lösung

\frac{d y}{d x} + y = \frac{1}{1 + e ^{x}}

Lösung

y = \frac{ln ( 1 + e ^{x} )}{e ^{x}} + \frac{c _{1}}{e ^{x}}

Schritte zur Lösung

\frac{d y}{d x} + y = \frac{1}{1 + e ^{x}}

Solve linear ODE:

y = \frac{ln ( 1 + e ^{x} )}{e ^{x}} + \frac{c _{1}}{e ^{x}}

y = \frac{ln ( 1 + e ^{x} )}{e ^{x}} + \frac{c _{1}}{e ^{x}}

Graph

Beliebte Beispiele

tangent y=(x^3-9x)^{12},(3,0)

t an g e n t y = (x^{3} - 9 x)^{12}, (3, 0)

(\partial)/(\partial x)(3ycos(-3x))

\frac{\partial}{\partial x} (3 y cos (- 3 x))

derivative of x^2-x-12

\frac{d}{d x} (x^{2} - x - 12)

derivative tan(7)x^2

d er i v a t i v e tan (7) x^{2}

integral from 0 to 1 of 2-x^2

\int_{0}^{1} 2 - x^{2} d x