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Beliebt Rechnen >

y^{''}-5y^'+6y=2sin(4x)

Lösung

y^{^{''}} - 5 y^{^{'}} + 6 y = 2 sin (4 x)

Lösung

y = c_{1} e^{3 x} + c_{2} e^{2 x} - \frac{1}{25} sin (4 x) + \frac{2}{25} cos (4 x)

Schritte zur Lösung

y^{''} (x) - 5 y^{'} (x) + 6 y = 2 sin (4 x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{2 x} - \frac{1}{25} sin (4 x) + \frac{2}{25} cos (4 x)

y = c_{1} e^{3 x} + c_{2} e^{2 x} - \frac{1}{25} sin (4 x) + \frac{2}{25} cos (4 x)

Graph

Beliebte Beispiele

y^{''}+7y^'+10y=e^{3x},y(0)=0,y^'(0)=0

y^{^{''}} + 7 y^{^{'}} + 10 y = e^{3 x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''''}-y=15t+cos(t)

y^{^{''''}} - y = 15 t + cos (t)

(d^2)/(dt^2)(θ(t))+4θ(t)=csc(2)(2t)

\frac{d ^{2}}{d t ^{2}} (θ (t)) + 4 θ (t) = csc (2) (2 t)

y^{''}-y^'-2y= 1/5

y^{^{''}} - y^{^{'}} - 2 y = \frac{1}{5}

y^{''}-9y=5e^{3x}

y^{^{''}} - 9 y = 5 e^{3 x}