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Beliebt Rechnen >

y^{''}-y^'-6y=45cos(3x)

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 45 cos (3 x)

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{15}{26} sin (3 x) - \frac{75}{26} cos (3 x)

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 6 y = 45 cos (3 x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{15}{26} sin (3 x) - \frac{75}{26} cos (3 x)

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{15}{26} sin (3 x) - \frac{75}{26} cos (3 x)

Graph

Beliebte Beispiele

y^{''}+4y^'+3y=8e^{-2x}

y^{^{''}} + 4 y^{^{'}} + 3 y = 8 e^{- 2 x}

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

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

y^{''}-8y^'+16y=e^{-x}

y^{^{''}} - 8 y^{^{'}} + 16 y = e^{- x}

(d^2y)/(dt^2)-y=e^t,y(0)=1,y^'(0)=1

\frac{d ^{2} y}{d t ^{2}} - y = e^{t}, y (0) = 1, y^{^{'}} (0) = 1

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

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