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Beliebt Rechnen >

y^{''''}-5y^{''}+4=0

Lösung

y^{^{''''}} - 5 y^{^{''}} + 4 = 0

Lösung

y = c_{1} e^{5 t} + c_{2} e^{- 5 t} + c_{3} + c_{4} t + \frac{2 t ^{2}}{5}

Schritte zur Lösung

y^{(4)} (t) - 5 y^{''} (t) + 4 = 0

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{- 5 t} + c_{3} + c_{4} t + \frac{2 t ^{2}}{5}

y = c_{1} e^{5 t} + c_{2} e^{- 5 t} + c_{3} + c_{4} t + \frac{2 t ^{2}}{5}

Graph

Beliebte Beispiele

(y^{''})/8+32y=2cos(3t)+4

\frac{y ^{^{''}}}{8} + 32 y = 2 cos (3 t) + 4

y^{''}-3y^'+2y=x,y(0)=e^x

y^{^{''}} - 3 y^{^{'}} + 2 y = x, y (0) = e^{x}

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

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

-3y^{''}-2y^'+y=t^2+t-2e^{2t}

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

x^{'''}-4x^{''}+5x^'-2x=2t+3

x^{^{'''}} - 4 x^{^{''}} + 5 x^{^{'}} - 2 x = 2 t + 3