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Beliebt Rechnen >

9y^{''}+6y^'+8y=37sin(x)

Lösung

9 y^{^{''}} + 6 y^{^{'}} + 8 y = 37 sin (x)

Lösung

y = e^{- \frac{x}{3}} (c_{1} cos (\frac{7 x}{3}) + c_{2} sin (\frac{7 x}{3})) - sin (x) - 6 cos (x)

Schritte zur Lösung

9 y^{''} (x) + 6 y^{'} (x) + 8 y = 37 sin (x)

Solve linear ODE:

y = e^{- \frac{x}{3}} (c_{1} cos (\frac{7 x}{3}) + c_{2} sin (\frac{7 x}{3})) - sin (x) - 6 cos (x)

y = e^{- \frac{x}{3}} (c_{1} cos (\frac{7 x}{3}) + c_{2} sin (\frac{7 x}{3})) - sin (x) - 6 cos (x)

Graph

Beliebte Beispiele

y^{''}-2y^'+y=(e^t)/t

y^{^{''}} - 2 y^{^{'}} + y = \frac{e ^{t}}{t}

ay^{''}+by^'+c=0

a y^{^{''}} + b y^{^{'}} + c = 0

y^{''}-y^'=(e^x)/((1+e^x))

y^{^{''}} - y^{^{'}} = \frac{e ^{x}}{( 1 + e ^{x} )}

y^{''}+2y^'+y=te^t

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

y^{''}-y^'+y=10sin(t)

y^{^{''}} - y^{^{'}} + y = 10 sin (t)