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Beliebt Rechnen >

14y^{''}+y^'+y=x^2-5x

Lösung

14 y^{^{''}} + y^{^{'}} + y = x^{2} - 5 x

Lösung

y = e^{- \frac{x}{28}} (c_{1} cos (\frac{55 x}{28}) + c_{2} sin (\frac{55 x}{28})) + x^{2} - 7 x - 21

Schritte zur Lösung

14 y^{''} (x) + y^{'} (x) + y = x^{2} - 5 x

Solve linear ODE:

y = e^{- \frac{x}{28}} (c_{1} cos (\frac{55 x}{28}) + c_{2} sin (\frac{55 x}{28})) + x^{2} - 7 x - 21

y = e^{- \frac{x}{28}} (c_{1} cos (\frac{55 x}{28}) + c_{2} sin (\frac{55 x}{28})) + x^{2} - 7 x - 21

Graph

Beliebte Beispiele

y^{''}+106y^'+26y=2t^3e^{-5t}sin(t)

y^{^{''}} + 106 y^{^{'}} + 26 y = 2 t^{3} e^{- 5 t} sin (t)

y^{''}-7y^'=5x-3

y^{^{''}} - 7 y^{^{'}} = 5 x - 3

(d^2y)/(dx^2)-y=e^x

\frac{d ^{2} y}{d x ^{2}} - y = e^{x}

y^{''}+25y^'=-24te^{-t}

y^{^{''}} + 25 y^{^{'}} = - 24 t e^{- t}

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

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