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Beliebt Rechnen >

(dy)/(dx)=-5y,y=7,x=0

Lösung

\frac{d y}{d x} = - 5 y, y = 7, x = 0

Lösung

y = 7 e^{- 5 x}

Schritte zur Lösung

\frac{d y}{d x} = - 5 y

Solve separable ODE:

y = 7 e^{- 5 x}

y = 7 e^{- 5 x}

Graph

Beliebte Beispiele

(dy)/(dx)+2y^2=2y

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

sqrt(x)(dy)/(dx)=e^{7y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{7 y + x}, x > 0

x y^{^{'}} = 1 - y

((d^2x)/(dx^2)+4(dy)/(dx)+20y)^2=0

(\frac{d ^{2} x}{d x ^{2}} + 4 \frac{d y}{d x} + 20 y)^{2} = 0

(dp)/(dt)=5p-p^2

\frac{d p}{d t} = 5 p - p^{2}