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Beliebt Rechnen >

y^{''}+y^'=-cy

Lösung

y^{^{''}} + y^{^{'}} = - cy

Lösung

y = c_{1} e^{\frac{t ( - 1 + 1 - 4 c )}{2}} + c_{2} e^{\frac{t ( - 1 - 1 - 4 c )}{2}}

Schritte zur Lösung

y^{''} (t) + y^{'} (t) = - cy

Solve linear ODE:

y = c_{1} e^{\frac{t ( - 1 + 1 - 4 c )}{2}} + c_{2} e^{\frac{t ( - 1 - 1 - 4 c )}{2}}

y = c_{1} e^{\frac{t ( - 1 + 1 - 4 c )}{2}} + c_{2} e^{\frac{t ( - 1 - 1 - 4 c )}{2}}

Graph

Beliebte Beispiele

324y^{''}+36y^'=0,y(0)=3,y^'(0)=7

324 y^{^{''}} + 36 y^{^{'}} = 0, y (0) = 3, y^{^{'}} (0) = 7

2y^{''}+8y^'+6y=0

2 y^{^{''}} + 8 y^{^{'}} + 6 y = 0

7y^{''}+33y=0,y(0)=4,y^'(0)=9

7 y^{^{''}} + 33 y = 0, y (0) = 4, y^{^{'}} (0) = 9

y^{''}+4y^'+24y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 4 y^{^{'}} + 24 y = 0, y (0) = 1, y^{^{'}} (0) = 0

4y^{''}+y^'-2y=0

4 y^{^{''}} + y^{^{'}} - 2 y = 0