de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)=(3x-2)^3e^{2y},y=0,x=1

Lösung

\frac{d y}{d x} = (3 x - 2)^{3} e^{2 y}, y = 0, x = 1

Lösung

y = - \frac{ln ( - \frac{( 3 x - 2 ) ^{4}}{6} + \frac{7}{6} )}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{ln ( - \frac{( 3 x - 2 ) ^{4}}{6} + \frac{7}{6} )}{2}

y = - \frac{ln ( - \frac{( 3 x - 2 ) ^{4}}{6} + \frac{7}{6} )}{2}

Graph

Beliebte Beispiele

(dy)/(dt)y= 1/(2sqrt(81))*9

\frac{d y}{d t} y = \frac{1}{2 81} \cdot 9

(dy)/(dx)= y/((2x))

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

y^'+y/4 =3,y(-3)=0

y^{^{'}} + \frac{y}{4} = 3, y (- 3) = 0

(dP)/(dt)=7sqrt(Pt),P(1)=6

\frac{d P}{d t} = 7 Pt, P (1) = 6

3 y d x + x d y = 0