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Beliebt Rechnen >

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

Lösung

2 \cdot y^{^{''}} + y^{^{'}} - y = 0

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+2y^'=2t+5-e^{-2t}

y^{^{''}} + 2 y^{^{'}} = 2 t + 5 - e^{- 2 t}

derivative of x^{2-2x}

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

derivative y=(ln(x))/(e^x)

d er i v a t i v e y = \frac{ln ( x )}{e ^{x}}

integral of csc(6x)

\int csc (6 x) d x

inverselaplace (2s)/(s^2+2s+1)

in v erse l a pl a ce \frac{2 s}{s ^{2} + 2 s + 1}