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Beliebt Rechnen >

x^{''}+25x=102cos(t)

Lösung

x^{^{''}} + 25 x = 102 cos (t)

Lösung

x = c_{1} cos (5 t) + c_{2} sin (5 t) + \frac{17}{4} cos (t)

Schritte zur Lösung

x^{''} (t) + 25 x = 102 cos (t)

Solve linear ODE:

x = c_{1} cos (5 t) + c_{2} sin (5 t) + \frac{17}{4} cos (t)

x = c_{1} cos (5 t) + c_{2} sin (5 t) + \frac{17}{4} cos (t)

Graph

Beliebte Beispiele

y^{''}-y^'=3-4x

y^{^{''}} - y^{^{'}} = 3 - 4 x

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

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

y^{''}+15y^'+7y=sin(x)+cos(x)

y^{^{''}} + 15 y^{^{'}} + 7 y = sin (x) + cos (x)

(y^{''})-2y^'+y=(e^x)/(1+x^2)

(y^{^{''}}) - 2 y^{^{'}} + y = \frac{e ^{x}}{1 + x ^{2}}

y^{''}+2y^'+2y=t^2

y^{^{''}} + 2 y^{^{'}} + 2 y = t^{2}