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Beliebt Rechnen >

(d^2y)/(dt^2)+8(dy)/(dt)-20y=5e^{-3t}

Lösung

\frac{d ^{2} y}{d t ^{2}} + 8 \frac{d y}{d t} - 20 y = 5 e^{- 3 t}

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- 10 t} - \frac{1}{7} e^{- 3 t}

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} + 8 \frac{d y}{d t} - 20 y = 5 e^{- 3 t}

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 10 t} - \frac{1}{7} e^{- 3 t}

y = c_{1} e^{2 t} + c_{2} e^{- 10 t} - \frac{1}{7} e^{- 3 t}

Graph

Beliebte Beispiele

y^{''}+y^'+4=-20x

y^{^{''}} + y^{^{'}} + 4 = - 20 x

y^{''}-6y^'+9y=15x+3

y^{^{''}} - 6 y^{^{'}} + 9 y = 15 x + 3

y^{''}-6y^'+9y=15x+2

y^{^{''}} - 6 y^{^{'}} + 9 y = 15 x + 2

(d^2y)/(dx^2)-8(dy)/(dx)+15=0

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 15 = 0

y^{''}-5y^'+6y=x^2+3x

y^{^{''}} - 5 y^{^{'}} + 6 y = x^{2} + 3 x