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Beliebt Rechnen >

y^{'''}-18y^{''}+95y^'-150y=0

Lösung

y^{^{'''}} - 18 y^{^{''}} + 95 y^{^{'}} - 150 y = 0

Lösung

y = c_{1} e^{3 t} + c_{2} e^{5 t} + c_{3} e^{10 t}

Schritte zur Lösung

y^{'''} (t) - 18 y^{''} (t) + 95 y^{'} (t) - 150 y = 0

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{5 t} + c_{3} e^{10 t}

y = c_{1} e^{3 t} + c_{2} e^{5 t} + c_{3} e^{10 t}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+11(dy)/(dx)+28y=0

\frac{d ^{2} y}{d x ^{2}} + 11 \frac{d y}{d x} + 28 y = 0

y^{''''}+y^{'''}-5y^{''}-3y^'+1/2 y=0

y^{^{''''}} + y^{^{'''}} - 5 y^{^{''}} - 3 y^{^{'}} + \frac{1}{2} y = 0

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

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

(2D^5-7D^4+12D^3+8D^2)y=0

(2 D^{5} - 7 D^{4} + 12 D^{3} + 8 D^{2}) y = 0

y^{''}+22y^'+2y=0

y^{^{''}} + 22 y^{^{'}} + 2 y = 0