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Beliebt Rechnen >

linear y^{''}+4y=0

Lösung

linear

y^{^{''}} + 4 y = 0

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t)

Schritte zur Lösung

y^{''} (t) + 4 y = 0

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t)

y = c_{1} cos (2 t) + c_{2} sin (2 t)

Graph

Beliebte Beispiele

2 y^{^{''}} = - 4 y^{^{'}}

y^{''}-14y^'+49y=0,y(0)=0,y^'=7

y^{^{''}} - 14 y^{^{'}} + 49 y = 0, y (0) = 0, y^{^{'}} = 7

y^{'''}+2y^{''}-16y^'-32y=0

y^{^{'''}} + 2 y^{^{''}} - 16 y^{^{'}} - 32 y = 0

x^{^{''}} - a^{2} x = 0

y^{''}+4y^'-21y=0,y(0)=1,y^'(0)=23

y^{^{''}} + 4 y^{^{'}} - 21 y = 0, y (0) = 1, y^{^{'}} (0) = 23