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Beliebt Rechnen >

y^{''}-6y^'+10y=0,y(0)=-1,y^'(0)=3

Lösung

y^{^{''}} - 6 y^{^{'}} + 10 y = 0, y (0) = - 1, y^{^{'}} (0) = 3

Lösung

y = e^{3 t} (- cos (t) + 6 sin (t))

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 10 y = 0

Solve linear ODE:

y = e^{3 t} (- cos (t) + 6 sin (t))

y = e^{3 t} (- cos (t) + 6 sin (t))

Graph

Beliebte Beispiele

20y^{''}-100y^'+133y=0

20 y^{^{''}} - 100 y^{^{'}} + 133 y = 0

y^{'''}+9y^'=0,y^{''}(0)=27

y^{^{'''}} + 9 y^{^{'}} = 0, y^{^{''}} (0) = 27

x^{''}+6x^'+8x=0,x(0)=1,x^'(0)=2

x^{^{''}} + 6 x^{^{'}} + 8 x = 0, x (0) = 1, x^{^{'}} (0) = 2

y^{''}-10y^'+9y=0,y(0)=-1,y^'(0)=2

y^{^{''}} - 10 y^{^{'}} + 9 y = 0, y (0) = - 1, y^{^{'}} (0) = 2

y^{''}-8y^'-20y=0

y^{^{''}} - 8 y^{^{'}} - 20 y = 0