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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{ln ( x ^{2} - 6 x + c _{1} )}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{ln ( x ^{2} - 6 x + c _{1} )}{2}

y = \frac{ln ( x ^{2} - 6 x + c _{1} )}{2}

Graph

Beliebte Beispiele

integral of ln(t+1)

\int ln (t + 1) d t

derivative of (sin(x)/(x^5))

\frac{d}{d x} (\frac{sin ( x )}{x ^{5}})

derivative of x^4-2x^2+3

\frac{d}{d x} (x^{4} - 2 x^{2} + 3)

tangent y=(x^3-9x)^{10},(3,0)

t an g e n t y = (x^{3} - 9 x)^{10}, (3, 0)

tangent y=3x^3-3x,(-4,0)

t an g e n t y = 3 x^{3} - 3 x, (- 4, 0)