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Beliebt Rechnen >

x^{''}+9x=sin(t)+sin(3t)

Lösung

x^{^{''}} + 9 x = sin (t) + sin (3 t)

Lösung

x = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{1}{8} sin (t) - \frac{t cos ( 3 t )}{6}

Schritte zur Lösung

x^{''} (t) + 9 x = sin (t) + sin (3 t)

Solve linear ODE:

x = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{1}{8} sin (t) - \frac{t cos ( 3 t )}{6}

x = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{1}{8} sin (t) - \frac{t cos ( 3 t )}{6}

Graph

Beliebte Beispiele

y^{'''}-3y^{''}+3y^'-y=x-5e^x

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = x - 5 e^{x}

y^{''}-10y+25=0

y^{^{''}} - 10 y + 25 = 0

y^{''}-6y^'+9y= 1/(x^2)e^{3x}

y^{^{''}} - 6 y^{^{'}} + 9 y = \frac{1}{x ^{2}} e^{3 x}

x^{''}+4x^'+29=0,x(0)=5,x^'(0)=5

x^{^{''}} + 4 x^{^{'}} + 29 = 0, x (0) = 5, x^{^{'}} (0) = 5

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

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