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Beliebt Rechnen >

9y^{''}-6y^'+y=50sin(x)

Lösung

9 y^{^{''}} - 6 y^{^{'}} + y = 50 sin (x)

Lösung

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

Schritte zur Lösung

9 y^{''} (x) - 6 y^{'} (x) + y = 50 sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

4y^{''}+4y^'+y=xe^{*x/2}sin(x)

4 y^{^{''}} + 4 y^{^{'}} + y = x e^{\cdot \frac{x}{2}} sin (x)

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

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

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

y^{^{''}} + 2 y^{^{'}} + y = e^{- x l n (x)}

y^{''}-8y^'+80y=-3sin(3t)

y^{^{''}} - 8 y^{^{'}} + 80 y = - 3 sin (3 t)

y^{''}-8y^'+16=(1-x)e^{4x}

y^{^{''}} - 8 y^{^{'}} + 16 = (1 - x) e^{4 x}