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Beliebt Rechnen >

y^{'''}-2y^{''}-y^'+2=0

Lösung

y^{^{'''}} - 2 y^{^{''}} - y^{^{'}} + 2 = 0

Lösung

y = c_{1} + c_{2} e^{(1 + 2) t} + c_{3} e^{(1 - 2) t} + 2 t

Schritte zur Lösung

y^{'''} (t) - 2 y^{''} (t) - y^{'} (t) + 2 = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{(1 + 2) t} + c_{3} e^{(1 - 2) t} + 2 t

y = c_{1} + c_{2} e^{(1 + 2) t} + c_{3} e^{(1 - 2) t} + 2 t

Graph

Beliebte Beispiele

((d^2y)/(dx^2)-9y)=e^{-4x}cos(e^{-x})

(\frac{d ^{2} y}{d x ^{2}} - 9 y) = e^{- 4 x} cos (e^{- x})

y^{'''}+8y=8*e^{-2*t}

y^{^{'''}} + 8 y = 8 \cdot e^{- 2 \cdot t}

y^{''}-2y^'+y=cos(x)+sin(x)

y^{^{''}} - 2 y^{^{'}} + y = cos (x) + sin (x)

(d^2y)/(dx^2)+36y=288sin(6x)+96cos(6x)

\frac{d ^{2} y}{d x ^{2}} + 36 y = 288 sin (6 x) + 96 cos (6 x)

y^{''}+y=sec(x)+tan(x)

y^{^{''}} + y = sec (x) + tan (x)