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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - e^{4 - 4 t} + e^{4 - 4 t} t

Schritte zur Lösung

y^{''} (t) + 8 y^{'} (t) + 16 y = 0

Solve linear ODE:

y = - e^{4 - 4 t} + e^{4 - 4 t} t

y = - e^{4 - 4 t} + e^{4 - 4 t} t

Graph

Beliebte Beispiele

derivative (x^4+3x^2-2)^5

d er i v a t i v e (x^{4} + 3 x^{2} - 2)^{5}

(x+1)y^'+(x+2)y=8xe^{-x}

(x + 1) y^{^{'}} + (x + 2) y = 8 x e^{- x}

integral of 8x^3e^{x^4}

\int 8 x^{3} e^{x^{4}} d x

derivative 8sqrt(x)sin(x)

d er i v a t i v e 8 x sin (x)

fläche 1-x^2,13-7x

a re a 1 - x^{2}, 13 - 7 x