de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)=(x-5)e^{-2y},y(5)=ln(5)

Lösung

\frac{d y}{d x} = (x - 5) e^{- 2 y}, y (5) = ln (5)

Lösung

y = \frac{ln ( x ^{2} - 10 x + 50 )}{2}

Schritte zur Lösung

\frac{d y}{d x} = (x - 5) e^{- 2 y}

Solve separable ODE:

y = \frac{ln ( x ^{2} - 10 x + 50 )}{2}

y = \frac{ln ( x ^{2} - 10 x + 50 )}{2}

Graph

Beliebte Beispiele

integral of (3x^2)/(sqrt(49-x^2))

\int \frac{3 x ^{2}}{49 - x ^{2}} d x

integral of (e^y)/((e^y+1)^2)

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

y^{^{'}} = \frac{y \cdot e ^{x}}{x}

integral from 3 to 4 of x/(x^2+4x+20)

\int_{3}^{4} \frac{x}{x ^{2} + 4 x + 20} d x

derivative of (4x^2-2x^4)

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