de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)+12x^2y=7x^2,y(0)=2

Lösung

\frac{d y}{d x} + 12 x^{2} y = 7 x^{2}, y (0) = 2

Lösung

y = \frac{17 e ^{- 4 x^{3}}}{12} + \frac{7}{12}

Schritte zur Lösung

\frac{d y}{d x} + 12 x^{2} y = 7 x^{2}

Solve separable ODE:

y = \frac{17 e ^{- 4 x^{3}}}{12} + \frac{7}{12}

y = \frac{17 e ^{- 4 x^{3}}}{12} + \frac{7}{12}

Graph

Beliebte Beispiele

\frac{d y}{d x} = - y x

y^'+9xy=8x,y(0)=6

y^{^{'}} + 9 x y = 8 x, y (0) = 6

(dy)/(dx)=(3x^2+4x+2)/(2y+1)

\frac{d y}{d x} = \frac{3 x ^{2} + 4 x + 2}{2 y + 1}

x^2+y^2(dy)/(dx)=0

x^{2} + y^{2} \frac{d y}{d x} = 0

(dy)/(dt)= 2/100-(3y)/(100)

\frac{d y}{d t} = \frac{2}{100} - \frac{3 y}{100}