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Beliebt Rechnen >

4y^{''}-8y^'+3y=0,y(0)=2,y^'(0)=1

Lösung

4 y^{^{''}} - 8 y^{^{'}} + 3 y = 0, y (0) = 2, y^{^{'}} (0) = 1

Lösung

y = 2 e^{\frac{t}{2}}

Schritte zur Lösung

4 y^{''} (t) - 8 y^{'} (t) + 3 y = 0

Solve linear ODE:

y = 2 e^{\frac{t}{2}}

y = 2 e^{\frac{t}{2}}

Graph

Beliebte Beispiele

(D^3-2D^2-D+2)y=0

(D^{3} - 2 D^{2} - D + 2) y = 0

y^{''}+5y^'-y=0

y^{^{''}} + 5 y^{^{'}} - y = 0

y^{'''}+9y^{''}+20y^'=0

y^{^{'''}} + 9 y^{^{''}} + 20 y^{^{'}} = 0

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

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

y^{'''}-2y^'-13y^'-10y=0

y^{^{'''}} - 2 y^{^{'}} - 13 y^{^{'}} - 10 y = 0