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Beliebt Rechnen >

y^'+5y=8,y(0)=0

Lösung

y^{^{'}} + 5 y = 8, y (0) = 0

Lösung

y = - \frac{8 e ^{- 5 t}}{5} + \frac{8}{5}

Schritte zur Lösung

y^{'} (t) + 5 y = 8

Solve separable ODE:

y = - \frac{8 e ^{- 5 t}}{5} + \frac{8}{5}

y = - \frac{8 e ^{- 5 t}}{5} + \frac{8}{5}

Graph

Beliebte Beispiele

derivative of xsqrt(100-x^2)

\frac{d}{d x} (x 100 - x^{2})

integral of 1/(x^5)-1/x

\int \frac{1}{x ^{5}} - \frac{1}{x} d x

x^{''}-8x^'+17x=0

x^{^{''}} - 8 x^{^{'}} + 17 x = 0

derivative of e^{x/((x-6)})

\frac{d}{d x} (e^{\frac{x}{( x - 6 )}})

derivative of ln(1-3/x)

\frac{d}{d x} (ln (1 - \frac{3}{x}))