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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{( - 3 + 13 ) t}{2}} + c_{2} e^{\frac{( - 3 - 13 ) t}{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{\frac{( - 3 + 13 ) t}{2}} + c_{2} e^{\frac{( - 3 - 13 ) t}{2}}

y = c_{1} e^{\frac{( - 3 + 13 ) t}{2}} + c_{2} e^{\frac{( - 3 - 13 ) t}{2}}

Graph

Beliebte Beispiele

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

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

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

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

x^{''}+16x=0,x(0)=-1,x^'(0)=-5

x^{^{''}} + 16 x = 0, x (0) = - 1, x^{^{'}} (0) = - 5

y^{'''}-6y^{''}+9y^'=0

y^{^{'''}} - 6 y^{^{''}} + 9 y^{^{'}} = 0

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

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