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Beliebt Rechnen >

y^{''}+11y=2e^{7x}

Lösung

y^{^{''}} + 11 y = 2 e^{7 x}

Lösung

y = c_{1} cos (11 x) + c_{2} sin (11 x) + \frac{1}{30} e^{7 x}

Schritte zur Lösung

y^{''} (x) + 11 y = 2 e^{7 x}

Solve linear ODE:

y = c_{1} cos (11 x) + c_{2} sin (11 x) + \frac{1}{30} e^{7 x}

y = c_{1} cos (11 x) + c_{2} sin (11 x) + \frac{1}{30} e^{7 x}

Graph

Beliebte Beispiele

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

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

y^{''}+4y=3cos(t)

y^{^{''}} + 4 y = 3 cos (t)

x^{''}-12x^'+36x=2t+e^{6t}

x^{^{''}} - 12 x^{^{'}} + 36 x = 2 t + e^{6 t}

4y^{''}-y=(ex)/(2+5)

4 y^{^{''}} - y = \frac{e x}{2 + 5}

y^{''}+2y^'+2y=4e^{-x}cos(x)

y^{^{''}} + 2 y^{^{'}} + 2 y = 4 e^{- x} cos (x)