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Beliebt Rechnen >

-x^{''}+x^'=6e^t+2t-2

Lösung

- x^{^{''}} + x^{^{'}} = 6 e^{t} + 2 t - 2

Lösung

x = c_{1} + c_{2} e^{t} - 6 t e^{t} + t^{2}

Schritte zur Lösung

- x^{''} (t) + x^{'} (t) = 6 e^{t} + 2 t - 2

Solve linear ODE:

x = c_{1} + c_{2} e^{t} - 6 t e^{t} + t^{2}

x = c_{1} + c_{2} e^{t} - 6 t e^{t} + t^{2}

Graph

Beliebte Beispiele

y^{''}+5y^'+6y=12e^{-5t}+12e^{-t}+24

y^{^{''}} + 5 y^{^{'}} + 6 y = 12 e^{- 5 t} + 12 e^{- t} + 24

(d^2y)/(dx^2)-y=cos(2x)

\frac{d ^{2} y}{d x ^{2}} - y = cos (2 x)

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

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

x^{''}+3x^'+21x=11cos(4t)

x^{^{''}} + 3 x^{^{'}} + 21 x = 11 cos (4 t)

y^{'''}+y^{''}=2x+5

y^{^{'''}} + y^{^{''}} = 2 x + 5