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Beliebt Rechnen >

(dy)/(dx)=3e^{x-y},y(0)=ln(9)

Lösung

\frac{d y}{d x} = 3 e^{x - y}, y (0) = ln (9)

Lösung

y = ln (3 e^{x} + 6)

Schritte zur Lösung

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

Solve separable ODE:

y = ln (3 e^{x} + 6)

y = ln (3 e^{x} + 6)

Graph

Beliebte Beispiele

\frac{d v}{d t} = 1 - 2 v

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

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

(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)