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Beliebt Rechnen >

y^{''}-10/3 y^'+ay=0

Lösung

y^{^{''}} - \frac{10}{3} y^{^{'}} + a y = 0

Lösung

y = c_{1} e^{\frac{t ( 5 + - 9 a + 25 )}{3}} + c_{2} e^{\frac{t ( 5 - - 9 a + 25 )}{3}}

Schritte zur Lösung

y^{''} (t) - \frac{10}{3} y^{'} (t) + a y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t ( 5 + - 9 a + 25 )}{3}} + c_{2} e^{\frac{t ( 5 - - 9 a + 25 )}{3}}

y = c_{1} e^{\frac{t ( 5 + - 9 a + 25 )}{3}} + c_{2} e^{\frac{t ( 5 - - 9 a + 25 )}{3}}

Graph

Beliebte Beispiele

x^{^{''}} + a \cdot x^{^{'}} = 0

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

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

y^{'''}-5y^{''}+9y^'-5y=0

y^{^{'''}} - 5 y^{^{''}} + 9 y^{^{'}} - 5 y = 0

y^{''}-8y^'+16y=0,y(0)=-4,y^'(0)=-71/5

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (0) = - 4, y^{^{'}} (0) = - \frac{71}{5}

25y^{''}+10y^'+1y=0

25 y^{^{''}} + 10 y^{^{'}} + 1 y = 0