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Beliebt Rechnen >

3y^{''}+13y^'+4y=0,y(0)=-2,y^'(0)=-2

Lösung

3 y^{^{''}} + 13 y^{^{'}} + 4 y = 0, y (0) = - 2, y^{^{'}} (0) = - 2

Lösung

y = (- 2 - \frac{8}{11}) e^{- \frac{t}{3}} + \frac{8}{11} e^{- 4 t}

Schritte zur Lösung

3 y^{''} (t) + 13 y^{'} (t) + 4 y = 0

Solve linear ODE:

y = (- 2 - \frac{8}{11}) e^{- \frac{t}{3}} + \frac{8}{11} e^{- 4 t}

y = (- 2 - \frac{8}{11}) e^{- \frac{t}{3}} + \frac{8}{11} e^{- 4 t}

Graph

Beliebte Beispiele

integral of (5x^3-3x^2+7)

\int (5 x^{3} - 3 x^{2} + 7) d x

derivative of x^4-8x^2+16

\frac{d}{d x} (x^{4} - 8 x^{2} + 16)

d/(dy)(1/(y^3))

\frac{d}{d y} (\frac{1}{y ^{3}})

(\partial)/(\partial x)(2x^2+5y^2-xy)

\frac{\partial}{\partial x} (2 x^{2} + 5 y^{2} - x y)

integral from x to x^2 of e^{t^2}

\int_{x}^{x^{2}} e^{t^{2}} d t