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Beliebt Rechnen >

y^{''}-4y^'+13y=0,y(0)=0,y^'(0)=2

Lösung

y^{^{''}} - 4 y^{^{'}} + 13 y = 0, y (0) = 0, y^{^{'}} (0) = 2

Lösung

y = \frac{2}{3} e^{2 t} sin (3 t)

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) + 13 y = 0

Solve linear ODE:

y = \frac{2}{3} e^{2 t} sin (3 t)

y = \frac{2}{3} e^{2 t} sin (3 t)

Graph

Beliebte Beispiele

y^{''}-6y^'+5y=0,y^0=3

y^{^{''}} - 6 y^{^{'}} + 5 y = 0, y^{0} = 3

y^{''}+2y^'-3y=0,y(0)=1,y^'(0)=-2

y^{^{''}} + 2 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = - 2

77y^{''''}+204y^{''}+64y=0

77 y^{^{''''}} + 204 y^{^{''}} + 64 y = 0

3y^{''}-9y^'+6y=0

3 y^{^{''}} - 9 y^{^{'}} + 6 y = 0

(d^2y)/(dx^2)+10((dy)/(dx))+25y=0

\frac{d ^{2} y}{d x ^{2}} + 10 (\frac{d y}{d x}) + 25 y = 0