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Beliebt Rechnen >

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

Lösung

\frac{d y}{d x} = \frac{( 3 e ^{x} )}{( 3 y + 1 )}

Lösung

y = \frac{- 1 + 6 ( c _{1} + 3 e ^{x} ) + 1}{3}, y = - \frac{6 ( c _{1} + 3 e ^{x} ) + 1 + 1}{3}

Schritte zur Lösung

\frac{d y}{d x} = \frac{( 3 e ^{x} )}{( 3 y + 1 )}

Solve separable ODE:

y = \frac{- 1 + 6 ( c _{1} + 3 e ^{x} ) + 1}{3}, y = - \frac{6 ( c _{1} + 3 e ^{x} ) + 1 + 1}{3}

y = \frac{- 1 + 6 ( c _{1} + 3 e ^{x} ) + 1}{3}, y = - \frac{6 ( c _{1} + 3 e ^{x} ) + 1 + 1}{3}

Graph

Beliebte Beispiele

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

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

(dy)/(dx)=6-y/(20)

\frac{d y}{d x} = 6 - \frac{y}{20}

y^'+3y=1,3sin(2t)y(0)=6

y^{^{'}} + 3 y = 1, 3 sin (2 t) y (0) = 6

(dy)/(dx) 1/x+1/y =1

\frac{d y}{d x} \frac{1}{x} + \frac{1}{y} = 1

y^'=(x^2)/(-4y)

y^{^{'}} = \frac{x ^{2}}{- 4 y}