de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy}{dx}=\frac{(2x+1)^2)/y

Lösung

\frac{d y}{d x} = \frac{( 2 x + 1 ) ^{2}}{y}

Lösung

y = \frac{8 x ^{3}}{3} + 4 x^{2} + 2 x + c_{1}, y = - \frac{8 x ^{3}}{3} + 4 x^{2} + 2 x + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{( 2 x + 1 ) ^{2}}{y}

Solve separable ODE:

y = \frac{8 x ^{3}}{3} + 4 x^{2} + 2 x + c_{1}, y = - \frac{8 x ^{3}}{3} + 4 x^{2} + 2 x + c_{1}

y = \frac{8 x ^{3}}{3} + 4 x^{2} + 2 x + c_{1}, y = - \frac{8 x ^{3}}{3} + 4 x^{2} + 2 x + c_{1}

Graph

Beliebte Beispiele

(dy)/(dx)=y(x^2+3)

\frac{d y}{d x} = y (x^{2} + 3)

(dv)/(dt)=9.6138-8v

\frac{d v}{d t} = 9.6138 - 8 v

(dy)/(dx)=-(3x+xy^2)/(2y+x^2y)

\frac{d y}{d x} = - \frac{3 x + x y ^{2}}{2 y + x ^{2} y}

3x^2(1+y^2)dx-2ydy=0

3 x^{2} (1 + y^{2}) d x - 2 y d y = 0

y^'=(11x^2-1)/(11+3y)

y^{^{'}} = \frac{11 x ^{2} - 1}{11 + 3 y}