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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

y^{''}-10y^'+16y=0

y^{^{''}} - 10 y^{^{'}} + 16 y = 0

y^{''}+y=0,y(pi/2)=5,y(0)=1

y^{^{''}} + y = 0, y (\frac{π}{2}) = 5, y (0) = 1

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

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

y^{''}-3y^'-4y=0,y(0)=1,y^'(0)=3

y^{^{''}} - 3 y^{^{'}} - 4 y = 0, y (0) = 1, y^{^{'}} (0) = 3