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Beliebt Rechnen >

y^{''}+2y^'+26y=0,y(0)=4,y^'(0)=-2

Lösung

y^{^{''}} + 2 y^{^{'}} + 26 y = 0, y (0) = 4, y^{^{'}} (0) = - 2

Lösung

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

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 26 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of sqrt(x)*ln(x)

\frac{d}{d x} (x \cdot ln (x))

(\partial)/(\partial x)(x^{2+y^2})

\frac{\partial}{\partial x} (x^{2 + y^{2}})

integral of (15x^4)

\int (15 x^{4}) d x

derivative of (-7x^2/(2x^2-5))

\frac{d}{d x} (\frac{- 7 x ^{2}}{2 x ^{2} - 5})

derivative of-cos(5x)

\frac{d}{d x} (- cos (5 x))