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Beliebt Rechnen >

3/4 x^{''}+192x=0,x(0)=-1/4 ,x^'(0)=0

Lösung

\frac{3}{4} x^{^{''}} + 192 x = 0, x (0) = - \frac{1}{4}, x^{^{'}} (0) = 0

Lösung

x = - \frac{1}{4} cos (16 t)

Schritte zur Lösung

\frac{3}{4} x^{''} (t) + 192 x = 0

Solve linear ODE:

x = - \frac{1}{4} cos (16 t)

x = - \frac{1}{4} cos (16 t)

Graph

Beliebte Beispiele

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

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

1/2 x^{''}+25x=0

\frac{1}{2} x^{^{''}} + 25 x = 0

3y^{''}-24y^'=-48y

3 y^{^{''}} - 24 y^{^{'}} = - 48 y

3y^{''}+48y=0,y(0)=3,y^'(0)=20

3 y^{^{''}} + 48 y = 0, y (0) = 3, y^{^{'}} (0) = 20

5(d^2x)/(dt^2)-3x=0

5 \frac{d ^{2} x}{d t ^{2}} - 3 x = 0