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Beliebt Rechnen >

3y^{''}+48y=0,y(0)=8,y^'(0)=-33

Lösung

3 y^{^{''}} + 48 y = 0, y (0) = 8, y^{^{'}} (0) = - 33

Lösung

y = 8 cos (4 t) - \frac{33}{4} sin (4 t)

Schritte zur Lösung

3 y^{''} (t) + 48 y = 0

Solve linear ODE:

y = 8 cos (4 t) - \frac{33}{4} sin (4 t)

y = 8 cos (4 t) - \frac{33}{4} sin (4 t)

Graph

Beliebte Beispiele

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

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

2y^{''}+4y^'-10y=0

2 y^{^{''}} + 4 y^{^{'}} - 10 y = 0

y^{^{''''}} - y^{^{'}} = 0

1/4 x^{''}-x=0,x(0)=1,x^'(0)=5

\frac{1}{4} x^{^{''}} - x = 0, x (0) = 1, x^{^{'}} (0) = 5

4x^{''}+15x^'+14x=0

4 x^{^{''}} + 15 x^{^{'}} + 14 x = 0