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Beliebt Rechnen >

y^{''}+1/2 y^'+y=0

Lösung

y^{^{''}} + \frac{1}{2} y^{^{'}} + y = 0

Lösung

y = e^{- \frac{t}{4}} (c_{1} cos (\frac{15 t}{4}) + c_{2} sin (\frac{15 t}{4}))

Schritte zur Lösung

y^{''} (t) + \frac{1}{2} y^{'} (t) + y = 0

Solve linear ODE:

y = e^{- \frac{t}{4}} (c_{1} cos (\frac{15 t}{4}) + c_{2} sin (\frac{15 t}{4}))

y = e^{- \frac{t}{4}} (c_{1} cos (\frac{15 t}{4}) + c_{2} sin (\frac{15 t}{4}))

Graph

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x \to 0 lim ((1 + 8 x)^{\frac{7}{x}})

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