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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{1}{e ^{x}} + \frac{c _{1}}{e ^{2 x}}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{1}{e ^{x}} + \frac{c _{1}}{e ^{2 x}}

y = \frac{1}{e ^{x}} + \frac{c _{1}}{e ^{2 x}}

Graph

Beliebte Beispiele

derivative of c_{1}e^{-2x}+c_{2}xe^{-2x}

\frac{d}{d x} (c_{1} e^{- 2 x} + c_{2} x e^{- 2 x})

f(x)=e^{1/x}-(e^{1/x})/x

f (x) = e^{\frac{1}{x}} - \frac{e ^{\frac{1}{x}}}{x}

integral of 1/(cos(x)+sin(x))

\int \frac{1}{cos ( x ) + sin ( x )} d x

inverselaplace 5/((s+2)^4)

in v erse l a pl a ce \frac{5}{( s + 2 ) ^{4}}

derivative of a(x+1(x-{r}(x)))

\frac{d}{d x} (a (x + 1) (x - r (x)))