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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

(dx)/(dt)=cos^2(x)

\frac{d x}{d t} = cos^{2} (x)

(dy)/(dx)=(4y^2)/(x^2)-y^2

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

f^{^{'}} (x) = - 6 f (x)

(x^2+9)dy=(2x-10xy)dx

(x^{2} + 9) d y = (2 x - 10 x y) d x

(dy)/(dt)-2ty=t,y(0)=1

\frac{d y}{d t} - 2 t y = t, y (0) = 1