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Beliebt Rechnen >

y^{''}+a^2y=cos(bt)

Lösung

y^{^{''}} + a^{2} y = cos (b t)

Lösung

y = c_{1} cos (a t) + c_{2} sin (a t) + \frac{cos ( b t )}{a ^{2} - b ^{2}}

Schritte zur Lösung

y^{''} (t) + a^{2} y = cos (b t)

Solve linear ODE:

y = c_{1} cos (a t) + c_{2} sin (a t) + \frac{cos ( b t )}{a ^{2} - b ^{2}}

y = c_{1} cos (a t) + c_{2} sin (a t) + \frac{cos ( b t )}{a ^{2} - b ^{2}}

Graph

Beliebte Beispiele

y^{''}-12y^'+36y=7+2x

y^{^{''}} - 12 y^{^{'}} + 36 y = 7 + 2 x

y^{''}-2y^'+y=e^2x

y^{^{''}} - 2 y^{^{'}} + y = e^{2} x

y^{''}-3y=cos(3x)

y^{^{''}} - 3 y = cos (3 x)

y^{''}-4y=4t-8e^{-2t}

y^{^{''}} - 4 y = 4 t - 8 e^{- 2 t}

y^{''}+y^'=cos(3t),y(0)=0,y^'(0)=1

y^{^{''}} + y^{^{'}} = cos (3 t), y (0) = 0, y^{^{'}} (0) = 1