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Beliebt Rechnen >

y^{''}+10y^'+8/3 y=0

Lösung

y^{^{''}} + 10 y^{^{'}} + \frac{8}{3} y = 0

Lösung

y = c_{1} e^{\frac{( - 15 + 201 ) t}{3}} + c_{2} e^{- \frac{( 15 + 201 ) t}{3}}

Schritte zur Lösung

y^{''} (t) + 10 y^{'} (t) + \frac{8}{3} y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( - 15 + 201 ) t}{3}} + c_{2} e^{- \frac{( 15 + 201 ) t}{3}}

y = c_{1} e^{\frac{( - 15 + 201 ) t}{3}} + c_{2} e^{- \frac{( 15 + 201 ) t}{3}}

Graph

Beliebte Beispiele

y^{''}-2y^'+2y=0,y(pi/2)=0,y(pi)=-1

y^{^{''}} - 2 y^{^{'}} + 2 y = 0, y (\frac{π}{2}) = 0, y (π) = - 1

15y^{''}-4y^'-3y=0

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

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

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

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

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

y^{''}+5y^'-6y=0,y(0)=-5,y^'(0)=37

y^{^{''}} + 5 y^{^{'}} - 6 y = 0, y (0) = - 5, y^{^{'}} (0) = 37