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Beliebt Rechnen >

y^{''}+9y=sin(x)+sin(3x)

Lösung

y^{^{''}} + 9 y = sin (x) + sin (3 x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + 9 y = sin (x) + sin (3 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y=t^2+4e^t,y(0)=0,y^'(0)=9

y^{^{''}} + 4 y = t^{2} + 4 e^{t}, y (0) = 0, y^{^{'}} (0) = 9

y^{''}+4y=t^2+4e^t,y(0)=0,y^'(0)=1

y^{^{''}} + 4 y = t^{2} + 4 e^{t}, y (0) = 0, y^{^{'}} (0) = 1

y^{''}-10y^'+25y=t^{-3}e^{5t}

y^{^{''}} - 10 y^{^{'}} + 25 y = t^{- 3} e^{5 t}

y^{''}+k^2y=k_{2}*sin(kx)

y^{^{''}} + k^{2} y = k_{2} \cdot sin (k x)

y^{''}+2y^'+y=-e^{2x}+e^{3x}

y^{^{''}} + 2 y^{^{'}} + y = - e^{2 x} + e^{3 x}