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Beliebt Rechnen >

(dy)/(dx)=-y,y(0)=1

Lösung

\frac{d y}{d x} = - y, y (0) = 1

Lösung

y = e^{- x}

Schritte zur Lösung

\frac{d y}{d x} = - y

Solve separable ODE:

y = e^{- x}

y = e^{- x}

Graph

Beliebte Beispiele

y^2y^'-cos(x)=0

y^{2} y^{^{'}} - cos (x) = 0

(1+y^2)cos(x)dx-1/x dy=0

(1 + y^{2}) cos (x) d x - \frac{1}{x} d y = 0

\frac{d v}{d t} = 4 - 6 v

(dy)/(dx)=(2x+sec^2(x))/(2y),y(0)=-5

\frac{d y}{d x} = \frac{2 x + sec ^{2} ( x )}{2 y}, y (0) = - 5

xy^'=(1+y)^{1/2}

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