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Beliebt Rechnen >

y^{''}-2y^'+4y=0

Lösung

y^{^{''}} - 2 y^{^{'}} + 4 y = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative e^{x^2-4x}

d er i v a t i v e e^{x^{2} - 4 x}

derivative 8e^{4sqrt(x)}

d er i v a t i v e 8 e^{4 x}

derivative of tan(x-sec(x))

\frac{d}{d x} (tan (x) - sec (x))

(\partial)/(\partial x)(x^3+y^3-9xy)

\frac{\partial}{\partial x} (x^{3} + y^{3} - 9 x y)

limit as x approaches pi/4 of tan(x)

x \to \frac{π}{4} lim (tan (x))