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Beliebt Rechnen >

y^{''}-6y^'+9y=0,y(0)=0,y^'(0)=1

Lösung

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = 0, y^{^{'}} (0) = 1

Lösung

y = e^{3 t} t

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 9 y = 0

Solve linear ODE:

y = e^{3 t} t

y = e^{3 t} t

Graph

Beliebte Beispiele

(y^{''}+4y^'+20y)^2=0

(y^{^{''}} + 4 y^{^{'}} + 20 y)^{2} = 0

f^{''}(x)+f(x)=0,f(0)=1

f^{^{''}} (x) + f (x) = 0, f (0) = 1

y^{'''}+y^{''}-7y^'+5y=0

y^{^{'''}} + y^{^{''}} - 7 y^{^{'}} + 5 y = 0

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

l in e a r y^{^{''}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 1

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

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