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Beliebt Rechnen >

y^{''}+49y=0,y(0)=6,y^'(0)=-6

Lösung

y^{^{''}} + 49 y = 0, y (0) = 6, y^{^{'}} (0) = - 6

Lösung

y = 6 cos (7 t) - \frac{6}{7} sin (7 t)

Schritte zur Lösung

y^{''} (t) + 49 y = 0

Solve linear ODE:

y = 6 cos (7 t) - \frac{6}{7} sin (7 t)

y = 6 cos (7 t) - \frac{6}{7} sin (7 t)

Graph

Beliebte Beispiele

3y^{'''}+11y^{''}+24y^'+12y=0

3 y^{^{'''}} + 11 y^{^{''}} + 24 y^{^{'}} + 12 y = 0

(D^{2} + 2 D + 17) y = 0

3y^{'''}-5y^{''}-16y^'+12y=0

3 y^{^{'''}} - 5 y^{^{''}} - 16 y^{^{'}} + 12 y = 0

y^{''}+y^'+4.25y=0,y(0)=5

y^{^{''}} + y^{^{'}} + 4.25 y = 0, y (0) = 5

y^{''}+0y^'+36y=0,y(0)=3,y^'(0)=0

y^{^{''}} + 0 y^{^{'}} + 36 y = 0, y (0) = 3, y^{^{'}} (0) = 0