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Beliebt Rechnen >

y^'+3y=e^{-3t}

Lösung

y^{^{'}} + 3 y = e^{- 3 t}

Lösung

y = \frac{t}{e ^{3 t}} + \frac{c _{1}}{e ^{3 t}}

Schritte zur Lösung

y^{'} (t) + 3 y = e^{- 3 t}

Solve linear ODE:

y = \frac{t}{e ^{3 t}} + \frac{c _{1}}{e ^{3 t}}

y = \frac{t}{e ^{3 t}} + \frac{c _{1}}{e ^{3 t}}

Graph

Beliebte Beispiele

integral from 0 to 1 of 3x^3

\int_{0}^{1} 3 x^{3} d x

integral from 0 to 2 of-x^2+4

\int_{0}^{2} - x^{2} + 4 d x

d/(dy)(xe^{-y})

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

integral of sin^4(xco)s^5x

\int sin^{4} (x co) s^{5} x d x

limit as h approaches 0 of ((1+h)^5-1)/h

h \to 0 lim (\frac{( 1 + h ) ^{5} - 1}{h})