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Beliebt Rechnen >

(dy)/(dt)+e^ty=-e^t

Lösung

\frac{d y}{d t} + e^{t} y = - e^{t}

Lösung

y = e^{- e^{t} + c_{1}} - 1

Schritte zur Lösung

\frac{d y}{d t} + e^{t} y = - e^{t}

Solve separable ODE:

y = e^{- e^{t} + c_{1}} - 1

y = e^{- e^{t} + c_{1}} - 1

Graph

Beliebte Beispiele

tangent f(x)=\sqrt[3]{1+x},\at x=0

t an g e n t f (x) = 3 1 + x, at x = 0

integral of (3+u)/(1-u^2)

\int \frac{3 + u}{1 - u ^{2}} d u

integral of \sqrt[3]{2}

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integral of ((x^2))/(sqrt(36-x^2))

\int \frac{( x ^{2} )}{36 - x ^{2}} d x

integral of (1+x^2)/x

\int \frac{1 + x ^{2}}{x} d x