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Beliebt Rechnen >

y^{''}=6y^'-8y

Lösung

y^{^{''}} = 6 y^{^{'}} - 8 y

Lösung

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

Schritte zur Lösung

y^{''} (t) = 6 y^{'} (t) - 8 y

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+64/17*y^'+320/17*y=0

y^{^{''}} + \frac{64}{17} \cdot y^{^{'}} + \frac{320}{17} \cdot y = 0

6y^{''}-y^'-y=0,y(0)=1.25

6 y^{^{''}} - y^{^{'}} - y = 0, y (0) = 1.25

y^{''}-11y+24y=0

y^{^{''}} - 11 y + 24 y = 0

y^{''}+3y^'-10y=0,y(0)=α,y^'(0)=1

y^{^{''}} + 3 y^{^{'}} - 10 y = 0, y (0) = α, y^{^{'}} (0) = 1

4y^{''}+8y^'-21y=0,y(0)=1,y^'(0)=0

4 y^{^{''}} + 8 y^{^{'}} - 21 y = 0, y (0) = 1, y^{^{'}} (0) = 0