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Beliebt Rechnen >

(dy)/(dx)= 1/4 e^{-2y},y(0)=0

Lösung

\frac{d y}{d x} = \frac{1}{4} e^{- 2 y}, y (0) = 0

Lösung

y = \frac{ln ( \frac{x}{2} + 1 )}{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{1}{4} e^{- 2 y}

Solve separable ODE:

y = \frac{ln ( \frac{x}{2} + 1 )}{2}

y = \frac{ln ( \frac{x}{2} + 1 )}{2}

Graph

Beliebte Beispiele

(dy)/(dx)=((2yln(y)))/((x)),y(1)=4

\frac{d y}{d x} = \frac{( 2 y ln ( y ) )}{( x )}, y (1) = 4

y(dy)/(dx)-xy^2+x=0

y \frac{d y}{d x} - x y^{2} + x = 0

y^'-6xy=0,y(1)=1

y^{^{'}} - 6 x y = 0, y (1) = 1

y^'=(e^{5x})/(cos(2y))

y^{^{'}} = \frac{e ^{5 x}}{cos ( 2 y )}

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

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