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Beliebt Rechnen >

y^{''}+3y^'-10y=0

Lösung

y^{^{''}} + 3 y^{^{'}} - 10 y = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) - 10 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of e^{x^4}*4x^3

\frac{d}{d x} (e^{x^{4}} \cdot 4 x^{3})

x^{^{''}} + k x = 0

(dy)/(dx)=10-(2y)/(100-x)

\frac{d y}{d x} = 10 - \frac{2 y}{100 - x}

tangent f(x)=3x^2-5,\at x=2

t an g e n t f (x) = 3 x^{2} - 5, at x = 2

limit as x approaches 3pi+of cot(x)

x \to 3 π + lim (cot (x))