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Beliebt Rechnen >

y^{'''}+10y^{''}+25y^'=0

Lösung

y^{^{'''}} + 10 y^{^{''}} + 25 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- 5 t} + c_{3} t e^{- 5 t}

Schritte zur Lösung

y^{'''} (t) + 10 y^{''} (t) + 25 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- 5 t} + c_{3} t e^{- 5 t}

y = c_{1} + c_{2} e^{- 5 t} + c_{3} t e^{- 5 t}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(-2xy+x^3)

\frac{\partial}{\partial x} (- 2 x y + x^{3})

tangent f(x)=2-3x^2,\at x=-2

t an g e n t f (x) = 2 - 3 x^{2}, at x = - 2

(dy)/(dx)=y^2-2y

\frac{d y}{d x} = y^{2} - 2 y

derivative of e^{2x}*sin(x^2+5)

\frac{d}{d x} (e^{2 x} \cdot sin (x^{2} + 5))

tangent 2x^3-x^2+3

t an g e n t 2 x^{3} - x^{2} + 3