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Beliebt Rechnen >

3y^{''}-5y^'+2y=0

Lösung

3 y^{^{''}} - 5 y^{^{'}} + 2 y = 0

Lösung

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

Schritte zur Lösung

3 y^{''} (t) - 5 y^{'} (t) + 2 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

u^{'''}+u^{''}-2\H(t)=0

u^{^{'''}} + u^{^{''}} - 2 H (t) = 0

16y^{''}-8y^'+145y=0

16 y^{^{''}} - 8 y^{^{'}} + 145 y = 0

y^{''''}-23y^{''}-50y=0

y^{^{''''}} - 23 y^{^{''}} - 50 y = 0

y^{''}+5y^'+4y=0,y(0)=6,y^'(0)=2

y^{^{''}} + 5 y^{^{'}} + 4 y = 0, y (0) = 6, y^{^{'}} (0) = 2

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

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