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Beliebt Rechnen >

x^{''}+2^2x=3cos(bt)

Lösung

x^{^{''}} + 2^{2} \cdot x = 3 \cdot cos (b t)

Lösung

x = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{3 cos ( b t )}{- b ^{2} + 4}

Schritte zur Lösung

x^{''} (t) + 2^{2} \cdot x = 3 \cdot cos (b t)

Solve linear ODE:

x = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{3 cos ( b t )}{- b ^{2} + 4}

x = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{3 cos ( b t )}{- b ^{2} + 4}

Graph

Beliebte Beispiele

y^{''}+36y=36sin(6t)

y^{^{''}} + 36 y = 36 sin (6 t)

y^{^{''}} + y = 9 x^{2}

y^{''}-5y^'+4y=-3t^2

y^{^{''}} - 5 y^{^{'}} + 4 y = - 3 t^{2}

y^{''}-5y^'=x^2-2x

y^{^{''}} - 5 y^{^{'}} = x^{2} - 2 x

y^{''}-2y^'+y=cos(2x)

y^{^{''}} - 2 y^{^{'}} + y = cos (2 x)