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Beliebt Rechnen >

y^{''}+y=0,y(0)=3,y(0)=30

Lösung

y^{^{''}} + y = 0, y (0) = 3, y (0) = 30

Lösung

y = 3 cos (t) + c_{2} sin (t)

Schritte zur Lösung

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

Solve linear ODE:

y = 3 cos (t) + c_{2} sin (t)

y = 3 cos (t) + c_{2} sin (t)

Graph

Beliebte Beispiele

x^{''}+5x^'+9x=0

x^{^{''}} + 5 x^{^{'}} + 9 x = 0

5y^{''}+5y^'+45y=0,y(0)=-8,y^'(0)=0

5 y^{^{''}} + 5 y^{^{'}} + 45 y = 0, y (0) = - 8, y^{^{'}} (0) = 0

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

l in e a r y^{^{''}} + y^{^{'}} + y = 0

y^{''}+8y^'+17y=0,y(0)=1,y^'(0)=-5

y^{^{''}} + 8 y^{^{'}} + 17 y = 0, y (0) = 1, y^{^{'}} (0) = - 5

9 y - y^{^{''}} = 0