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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

derivative of (e^{3x}sin(2x)/(5^x))

\frac{d}{d x} (\frac{e ^{3 x} sin ( 2 x )}{5 ^{x}})

integral of (cot(x))/(1-sin(x))

\int \frac{cot ( x )}{1 - sin ( x )} d x

-4t^2y^{''}+5ty^'-2y=0

- 4 t^{2} y^{^{''}} + 5 t y^{^{'}} - 2 y = 0

integral of 1/(x*ln(x^6))

\int \frac{1}{x \cdot ln ( x ^{6} )} d x

integral of csc(v)

\int csc (v) d v