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Beliebt Rechnen >

y^{''}+2y^'+5y=0,y(0)=0,y^'(0)=1

Lösung

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = 1

Lösung

y = \frac{1}{2} e^{- t} sin (2 t)

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 5 y = 0

Solve linear ODE:

y = \frac{1}{2} e^{- t} sin (2 t)

y = \frac{1}{2} e^{- t} sin (2 t)

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+(dy)/(dx)+2y=0

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + 2 y = 0

y^{''}+5y^'+6y=0,y(0)=1,y^'(0)=2

y^{^{''}} + 5 y^{^{'}} + 6 y = 0, y (0) = 1, y^{^{'}} (0) = 2

(d^2y)/(dx^2)+6(dy)/(dx)+25y=0

\frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + 25 y = 0

linear y^{''}+k^2y=0

l in e a r y^{^{''}} + k^{2} y = 0

y^{''}-17y^'+72y=0

y^{^{''}} - 17 y^{^{'}} + 72 y = 0