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Beliebt Rechnen >

5y^{''}-6y^'+5y=0

Lösung

5 y^{^{''}} - 6 y^{^{'}} + 5 y = 0

Lösung

y = e^{\frac{3 t}{5}} (c_{1} cos (\frac{4 t}{5}) + c_{2} sin (\frac{4 t}{5}))

Schritte zur Lösung

5 y^{''} (t) - 6 y^{'} (t) + 5 y = 0

Solve linear ODE:

y = e^{\frac{3 t}{5}} (c_{1} cos (\frac{4 t}{5}) + c_{2} sin (\frac{4 t}{5}))

y = e^{\frac{3 t}{5}} (c_{1} cos (\frac{4 t}{5}) + c_{2} sin (\frac{4 t}{5}))

Graph

Beliebte Beispiele

derivative f(x)=(16)/x

d er i v a t i v e f (x) = \frac{16}{x}

limit as x approaches pi of cot(x)

x \to π lim (cot (x))

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a re a y = ∣ x ∣ + ∣ x - 1 ∣, x = - 1, x = 2

(\partial)/(\partial x)(arctan(x)y)

\frac{\partial}{\partial x} (arctan (x) y)

fläche (x-1)^3,x-1

a re a (x - 1)^{3}, x - 1