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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - e^{- x - c_{1} - 2} + \frac{1}{e ^{2}}

Schritte zur Lösung

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

Solve separable ODE:

y = - e^{- x - c_{1} - 2} + \frac{1}{e ^{2}}

y = - e^{- x - c_{1} - 2} + \frac{1}{e ^{2}}

Graph

Beliebte Beispiele

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

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

2(dy)/(dt)+4y=6

2 \frac{d y}{d t} + 4 y = 6

y^'=0.5y(1-y/(10000))

y^{^{'}} = 0.5 y (1 - \frac{y}{10000})

d v = 4 π r^{2} d r

y^'=(3x^2+1/(\sqrt[3]{x)})/(2y)

y^{^{'}} = \frac{3 x ^{2} + \frac{1}{3 x}}{2 y}