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Beliebt Rechnen >

y^{''}+6y+25y=0,y(0)=1,y^'(0)=-1

Lösung

y^{^{''}} + 6 y + 25 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

Lösung

y = cos (31 t) - \frac{1}{31} sin (31 t)

Schritte zur Lösung

y^{''} (t) + 6 y + 25 y = 0

Solve linear ODE:

y = cos (31 t) - \frac{1}{31} sin (31 t)

y = cos (31 t) - \frac{1}{31} sin (31 t)

Graph

Beliebte Beispiele

8 y^{^{''}} + 2 y^{^{'}} = 0

15 x^{^{''}} + 44 x = 0

x^{''}-7x^'+10x=0

x^{^{''}} - 7 x^{^{'}} + 10 x = 0

3/4 x^{''}+9x=0

\frac{3}{4} x^{^{''}} + 9 x = 0

y^{''}-12y^'+36y=0,y(0)=6,y^'(0)=1

y^{^{''}} - 12 y^{^{'}} + 36 y = 0, y (0) = 6, y^{^{'}} (0) = 1