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Beliebt Rechnen >

1/(pi^2)x^{''}+16x=0

Lösung

\frac{1}{π ^{2}} x^{^{''}} + 16 x = 0

Lösung

x = c_{1} cos (4 π t) + c_{2} sin (4 π t)

Schritte zur Lösung

\frac{1}{π ^{2}} x^{''} (t) + 16 x = 0

Solve linear ODE:

x = c_{1} cos (4 π t) + c_{2} sin (4 π t)

x = c_{1} cos (4 π t) + c_{2} sin (4 π t)

Graph

Beliebte Beispiele

2y^{''}-y^'-3y=0

2 y^{^{''}} - y^{^{'}} - 3 y = 0

(3D^3+5D^2-2D)y=0

(3 D^{3} + 5 D^{2} - 2 D) y = 0

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

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

16y^{''}-24y^'+9y=0,y(0)=3,y^'(0)=5

16 y^{^{''}} - 24 y^{^{'}} + 9 y = 0, y (0) = 3, y^{^{'}} (0) = 5

y^{'''}-3y^'+2y=0

y^{^{'''}} - 3 y^{^{'}} + 2 y = 0