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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{e ^{t}}{20 t ^{4}}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{e ^{t}}{20 t ^{4}}

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{e ^{t}}{20 t ^{4}}

Graph

Beliebte Beispiele

y^{''''}-5y^{''}+4y=10cos(x)

y^{^{''''}} - 5 y^{^{''}} + 4 y = 10 cos (x)

-9y^{''}+y=9t-4e^t+9

- 9 y^{^{''}} + y = 9 t - 4 e^{t} + 9

y^{''}-4y^'+3y=2e^x

y^{^{''}} - 4 y^{^{'}} + 3 y = 2 e^{x}

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

y^{^{''}} - y = \frac{1}{( e ^{x} + 1 )}

y^{''}+2y=1+e^x

y^{^{''}} + 2 y = 1 + e^{x}