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Beliebt Rechnen >

y^{'''}-6y^{''}+12y^'-8y=t^{-2}e^{2t}

Lösung

y^{^{'''}} - 6 y^{^{''}} + 12 y^{^{'}} - 8 y = t^{- 2} e^{2 t}

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 6 y^{''} (t) + 12 y^{'} (t) - 8 y = t^{- 2} e^{2 t}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+y^'= 1/(x^2)

y^{^{''}} + y^{^{'}} = \frac{1}{x ^{2}}

y^{^{''}} - y = x - 1

y^{''}+4y=t^2+8e^t,y(0)=0,y^'(0)=7

y^{^{''}} + 4 y = t^{2} + 8 e^{t}, y (0) = 0, y^{^{'}} (0) = 7

y^{''}-4y=e^xcos(x),y(0)=0.9,y^'(0)=-1.5

y^{^{''}} - 4 y = e^{x} cos (x), y (0) = 0.9, y^{^{'}} (0) = - 1.5

(d^2y)/(dx^2)+y=3sin(2x)

\frac{d ^{2} y}{d x ^{2}} + y = 3 sin (2 x)