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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} t + c_{3} e^{2 t} + c_{4} t e^{2 t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} t + c_{3} e^{2 t} + c_{4} t e^{2 t}

y = c_{1} + c_{2} t + c_{3} e^{2 t} + c_{4} t e^{2 t}

Graph

Beliebte Beispiele

y^{''}+4y^'-5y=0,y(0)=1,y^'(0)=7

y^{^{''}} + 4 y^{^{'}} - 5 y = 0, y (0) = 1, y^{^{'}} (0) = 7

(d^2y)/(dx^2)-8(dy)/(dx)+16y=0

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 16 y = 0

y^{'''}+4y^{''}+5y^'+2y=0

y^{^{'''}} + 4 y^{^{''}} + 5 y^{^{'}} + 2 y = 0

y^{''}-2y^'-5y=0

y^{^{''}} - 2 y^{^{'}} - 5 y = 0

y^{''}+y^'+9.25y=0

y^{^{''}} + y^{^{'}} + 9.25 y = 0