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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+2y^{''}-63y^'=0

y^{^{'''}} + 2 y^{^{''}} - 63 y^{^{'}} = 0

2y^{''}+2y+y=0,y(0)=1,y^'(0)=1

2 y^{^{''}} + 2 y + y = 0, y (0) = 1, y^{^{'}} (0) = 1

(d^2y)/(dx^2)=ky

\frac{d ^{2} y}{d x ^{2}} = k y

y^{''}-12y^'+20y=0

y^{^{''}} - 12 y^{^{'}} + 20 y = 0

y^{'''}-12y^{''}+21y^'+98y=0

y^{^{'''}} - 12 y^{^{''}} + 21 y^{^{'}} + 98 y = 0