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Beliebt Rechnen >

4y^{''}-3y^'-y=0

Lösung

4 y^{^{''}} - 3 y^{^{'}} - y = 0

Lösung

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

Schritte zur Lösung

4 y^{''} (t) - 3 y^{'} (t) - y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

4 y^{^{''}} + 324 y = 0

y^{''}-6y^'+25y=0,y(0)=6,y^'(0)=-2

y^{^{''}} - 6 y^{^{'}} + 25 y = 0, y (0) = 6, y^{^{'}} (0) = - 2

y^{''}-5y^'-36y=0,y(0)=-2,y^'(0)=3

y^{^{''}} - 5 y^{^{'}} - 36 y = 0, y (0) = - 2, y^{^{'}} (0) = 3

y^{''}-16y=0,y(0)=3

y^{^{''}} - 16 y = 0, y (0) = 3

2y^{''}-5y^'-3y=3y

2 y^{^{''}} - 5 y^{^{'}} - 3 y = 3 y