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Beliebt Rechnen >

linear y^{''}+4y=0,y(0)=2,y^'(0)=2

Lösung

linear

y^{^{''}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = 2

Lösung

y = 2 cos (2 t) + sin (2 t)

Schritte zur Lösung

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

Solve linear ODE:

y = 2 cos (2 t) + sin (2 t)

y = 2 cos (2 t) + sin (2 t)

Graph

Beliebte Beispiele

49y^{''}-126y^'+117y=0,y(4)=2,y^'(4)=2

49 y^{^{''}} - 126 y^{^{'}} + 117 y = 0, y (4) = 2, y^{^{'}} (4) = 2

y^{'''}-3y^{''}-49y^'-45y=0

y^{^{'''}} - 3 y^{^{''}} - 49 y^{^{'}} - 45 y = 0

y^{''}+5y^'+6y=0,y(0)=6,y^'(0)=-8

y^{^{''}} + 5 y^{^{'}} + 6 y = 0, y (0) = 6, y^{^{'}} (0) = - 8

16y^{''}-40y^'-25y=0

16 y^{^{''}} - 40 y^{^{'}} - 25 y = 0

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

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