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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}+y^'-6y=0,y(0)=1,y^'(0)=0

y^{^{''}} + y^{^{'}} - 6 y = 0, y (0) = 1, y^{^{'}} (0) = 0

(d^2x)/(dt^2)+16x=0

\frac{d ^{2} x}{d t ^{2}} + 16 x = 0

x^{''}+10x^'+25x=0

x^{^{''}} + 10 x^{^{'}} + 25 x = 0

y^{''''}-6y^{'''}+9y^{''}=0

y^{^{''''}} - 6 y^{^{'''}} + 9 y^{^{''}} = 0