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Beliebt Rechnen >

(dy)/(dx)=3e^{x-y},y(0)=ln(8)

Lösung

\frac{d y}{d x} = 3 e^{x - y}, y (0) = ln (8)

Lösung

y = ln (3 e^{x} + 5)

Schritte zur Lösung

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

Solve separable ODE:

y = ln (3 e^{x} + 5)

y = ln (3 e^{x} + 5)

Graph

Beliebte Beispiele

(1 + x) y^{^{'}} - x y = 0

y^{^{'}} sec (x) = 5 y^{2}

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

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

\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}