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Beliebt Rechnen >

y^{''}-9y^'+7y=0

Lösung

y^{^{''}} - 9 y^{^{'}} + 7 y = 0

Lösung

y = c_{1} e^{\frac{( 9 + 53 ) t}{2}} + c_{2} e^{\frac{( 9 - 53 ) t}{2}}

Schritte zur Lösung

y^{''} (t) - 9 y^{'} (t) + 7 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( 9 + 53 ) t}{2}} + c_{2} e^{\frac{( 9 - 53 ) t}{2}}

y = c_{1} e^{\frac{( 9 + 53 ) t}{2}} + c_{2} e^{\frac{( 9 - 53 ) t}{2}}

Graph

Beliebte Beispiele

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

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

5y^{''}+5y^'+10y=0

5 y^{^{''}} + 5 y^{^{'}} + 10 y = 0

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

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

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

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

y^{''}+4y^'+29y=0,y(0)=3,y^'(0)=-5

y^{^{''}} + 4 y^{^{'}} + 29 y = 0, y (0) = 3, y^{^{'}} (0) = - 5