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Beliebt Rechnen >

y^{''}-4y^'+4y=0,y(0)=3,y^'(0)=1

Lösung

y^{^{''}} - 4 y^{^{'}} + 4 y = 0, y (0) = 3, y^{^{'}} (0) = 1

Lösung

y = 3 e^{2 t} - 5 e^{2 t} t

Schritte zur Lösung

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

Solve linear ODE:

y = 3 e^{2 t} - 5 e^{2 t} t

y = 3 e^{2 t} - 5 e^{2 t} t

Graph

Beliebte Beispiele

(D^{2} - 1) y = 0

9y^{''}-5y^'-4y=0

9 y^{^{''}} - 5 y^{^{'}} - 4 y = 0

y^{''}+16y=0,y(0)=2,y(0)=-2

y^{^{''}} + 16 y = 0, y (0) = 2, y (0) = - 2

(d^2y)/(dx^2)-1(dy)/(dx)-6y=0

\frac{d ^{2} y}{d x ^{2}} - 1 \frac{d y}{d x} - 6 y = 0

y^{''}+4y^'-12y=0,y^0=5,y^'0=18

y^{^{''}} + 4 y^{^{'}} - 12 y = 0, y^{0} = 5, y^{^{'}} 0 = 18