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Beliebt Rechnen >

-2y^{''}-2*pi^2y=0

Lösung

- 2 y^{^{''}} - 2 \cdot π^{2} y = 0

Lösung

y = c_{1} cos (π t) + c_{2} sin (π t)

Schritte zur Lösung

- 2 y^{''} (t) - 2 \cdot π^{2} y = 0

Solve linear ODE:

y = c_{1} cos (π t) + c_{2} sin (π t)

y = c_{1} cos (π t) + c_{2} sin (π t)

Graph

Beliebte Beispiele

y^{''}+6y^'+9y=0,y(0)=4,y^'(0)=1

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = 4, y^{^{'}} (0) = 1

2y^{''}+5y^'-3y=0,y(0)=22

2 y^{^{''}} + 5 y^{^{'}} - 3 y = 0, y (0) = 22

y^{''}-2y^'-15y=0,y(0)=1,y^'(0)=37

y^{^{''}} - 2 y^{^{'}} - 15 y = 0, y (0) = 1, y^{^{'}} (0) = 37

2u^{''}+3/5 u^'+30\H(t)=0

2 u^{^{''}} + \frac{3}{5} u^{^{'}} + 30 H (t) = 0

49y^{''}-112y^'+64y=0

49 y^{^{''}} - 112 y^{^{'}} + 64 y = 0