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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{\frac{( 1 + 17 ) t}{2}} + c_{3} e^{\frac{( 1 - 17 ) t}{2}} + t

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{\frac{( 1 + 17 ) t}{2}} + c_{3} e^{\frac{( 1 - 17 ) t}{2}} + t

y = c_{1} + c_{2} e^{\frac{( 1 + 17 ) t}{2}} + c_{3} e^{\frac{( 1 - 17 ) t}{2}} + t

Graph

Beliebte Beispiele

y^{''}-9y=4e^{-5t}

y^{^{''}} - 9 y = 4 e^{- 5 t}

y^{''}+4y=3cos(at)

y^{^{''}} + 4 y = 3 cos (a t)

y^{'''}+9y^{''}+27y^'+27y=7e^{-3x}

y^{^{'''}} + 9 y^{^{''}} + 27 y^{^{'}} + 27 y = 7 e^{- 3 x}

(d^2y)/(dx^2)-6(dy)/(dx)=2x^2-x+1

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} = 2 x^{2} - x + 1

y^{''}+36y=24sin(6x)

y^{^{''}} + 36 y = 24 sin (6 x)