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Beliebt Rechnen >

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

Lösung

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

Lösung

y = 4 e^{2 t} t

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) + 4 y = 0

Solve linear ODE:

y = 4 e^{2 t} t

y = 4 e^{2 t} t

Graph

Beliebte Beispiele

y^{''}-9y^'+20y=0,y(0)=3,y^'(0)=2

y^{^{''}} - 9 y^{^{'}} + 20 y = 0, y (0) = 3, y^{^{'}} (0) = 2

y^{''}+1/100 y^'=0

y^{^{''}} + \frac{1}{100} y^{^{'}} = 0

x^{''}-7x^'+12=12,x(0)=5,x^'(0)=5

x^{^{''}} - 7 x^{^{'}} + 12 = 12, x (0) = 5, x^{^{'}} (0) = 5

y^{''}-4y=0,y(0)=2,y^'(0)=4

y^{^{''}} - 4 y = 0, y (0) = 2, y^{^{'}} (0) = 4

y^{'''}+12y^'+36y^'=0

y^{^{'''}} + 12 y^{^{'}} + 36 y^{^{'}} = 0