de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

dp=(3p-p^2-9/4)dt

Lösung

d p = (3 p - p^{2} - \frac{9}{4}) d t

Lösung

t = \frac{2}{2 p - 3} + c_{1}

Schritte zur Lösung

d p = (3 p - p^{2} - \frac{9}{4}) d t

Lass

t

die abhängige Variable sein. Teile durch

d p

:

1 = (3 p - p^{2} - \frac{9}{4}) \frac{d t}{d p}

Ersetze

\frac{d t}{d p}

mit

t^{'} (p)

1 = (3 p - p^{2} - \frac{9}{4}) t^{^{'}} (p)

Isoliere

t^{'} (p) : t^{'} (p) = \frac{4}{12 p - 4 p ^{2} - 9}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

t = \int \frac{4}{12 p - 4 p ^{2} - 9} d p

\int \frac{4}{12 p - 4 p ^{2} - 9} d p = \frac{2}{2 p - 3} + c_{1}

t = \frac{2}{2 p - 3} + c_{1}

Graph

Beliebte Beispiele

d/(dy)(y/(x^2))

\frac{d}{d y} (\frac{y}{x ^{2}})

integral of (e^{5/t})/(t^2)

\int \frac{e ^{\frac{5}{t}}}{t ^{2}} d t

(\partial)/(\partial x)(mx+b)

\frac{\partial}{\partial x} (m x + b)

integral from-infinity to 0 of e^{4y}

\int_{- \infty}^{0} e^{4 y} d y

sum from n=1 to infinity of ((x-2)^n)/n

n = 1 \sum \infty \frac{( x - 2 ) ^{n}}{n}