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Beliebt Rechnen >

y^'+5y=t+e^{-2t}

Lösung

y^{^{'}} + 5 y = t + e^{- 2 t}

Lösung

y = \frac{5 t - 1}{25} + \frac{1}{3 e ^{2 t}} + \frac{c _{1}}{e ^{5 t}}

Schritte zur Lösung

y^{'} (t) + 5 y = t + e^{- 2 t}

Solve linear ODE:

y = \frac{5 t - 1}{25} + \frac{1}{3 e ^{2 t}} + \frac{c _{1}}{e ^{5 t}}

y = \frac{5 t - 1}{25} + \frac{1}{3 e ^{2 t}} + \frac{c _{1}}{e ^{5 t}}

Graph

Beliebte Beispiele

integral from 1 to 4 of (3x+5)

\int_{1}^{4} (3 x + 5) d x

integral of (3sin(x))^2

\int (3 sin (x))^{2} d x

integral of 1/(3x-2)

\int \frac{1}{3 x - 2} d x

derivative of 12cos(3x)

\frac{d}{d x} (12 cos (3 x))

implicit (dy)/(dx),4x^2+6y^2=24x

im pl i c i t \frac{d y}{d x}, 4 x^{2} + 6 y^{2} = 24 x