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Beliebt Rechnen >

y^{''}+49pi^2y=0

Lösung

y^{^{''}} + 49 π^{2} y = 0

Lösung

y = c_{1} cos (7 π t) + c_{2} sin (7 π t)

Schritte zur Lösung

y^{''} (t) + 49 π^{2} y = 0

Solve linear ODE:

y = c_{1} cos (7 π t) + c_{2} sin (7 π t)

y = c_{1} cos (7 π t) + c_{2} sin (7 π t)

Graph

Beliebte Beispiele

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

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

y^{''}=7y^'-10y,y(0)=0,y^'(0)=-3

y^{^{''}} = 7 y^{^{'}} - 10 y, y (0) = 0, y^{^{'}} (0) = - 3

1/4 y^{''}+3y^'+4y=0

\frac{1}{4} y^{^{''}} + 3 y^{^{'}} + 4 y = 0

y^{''}+6y+90y=0

y^{^{''}} + 6 y + 90 y = 0

2y^{''}-4y^'-y=0

2 y^{^{''}} - 4 y^{^{'}} - y = 0