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Beliebt Rechnen >

3y^{''}-13y^'+14y=0

Lösung

3 y^{^{''}} - 13 y^{^{'}} + 14 y = 0

Lösung

y = c_{1} e^{\frac{7 t}{3}} + c_{2} e^{2 t}

Schritte zur Lösung

3 y^{''} (t) - 13 y^{'} (t) + 14 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{7 t}{3}} + c_{2} e^{2 t}

y = c_{1} e^{\frac{7 t}{3}} + c_{2} e^{2 t}

Graph

Beliebte Beispiele

linear 2y^{''}+13y^'-7y=0

l in e a r 2 y^{^{''}} + 13 y^{^{'}} - 7 y = 0

10x^{''}+7x^'+x=0

10 x^{^{''}} + 7 x^{^{'}} + x = 0

y^{''}+8y^'+16y=0,y(-1)=3,y^'(-1)=5

y^{^{''}} + 8 y^{^{'}} + 16 y = 0, y (- 1) = 3, y^{^{'}} (- 1) = 5

4y^{''}-y^'-6y=0

4 y^{^{''}} - y^{^{'}} - 6 y = 0

y^{''}-2/3 y^'+y/9 =0,y(0)=17,y^'(0)=b

y^{^{''}} - \frac{2}{3} y^{^{'}} + \frac{y}{9} = 0, y (0) = 17, y^{^{'}} (0) = b