de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^'=0.0875-(7y)/(2000),y(0)=50

Lösung

y^{^{'}} = 0.0875 - \frac{7 y}{2000}, y (0) = 50

Lösung

y = 25 + \frac{25}{e ^{\frac{7 t}{2000}}}

Schritte zur Lösung

y^{'} (t) = 0.0875 - \frac{7 y}{2000}

Solve linear ODE:

y = 25 + \frac{25}{e ^{\frac{7 t}{2000}}}

y = 25 + \frac{25}{e ^{\frac{7 t}{2000}}}

Graph

Beliebte Beispiele

tangent f(x)=((3x+5))/(1+x),\at x=1

t an g e n t f (x) = \frac{( 3 x + 5 )}{1 + x}, at x = 1

derivative of 3x^2-6x-8

\frac{d}{d x} (3 x^{2} - 6 x - 8)

integral of (e^x)/(x-1)

\int \frac{e ^{x}}{x - 1} d x

limit as x approaches 0 of ln(1-5x)

x \to 0 lim (ln (1 - 5 x))

derivative y=ln(3x^5)

d er i v a t i v e y = ln (3 x^{5})