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Beliebt Rechnen >

49y^{''}+112y^'+64y=0

Lösung

49 y^{^{''}} + 112 y^{^{'}} + 64 y = 0

Lösung

y = c_{1} e^{- \frac{8 t}{7}} + c_{2} e^{- \frac{8 t}{7}} t

Schritte zur Lösung

49 y^{''} (t) + 112 y^{'} (t) + 64 y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{8 t}{7}} + c_{2} e^{- \frac{8 t}{7}} t

y = c_{1} e^{- \frac{8 t}{7}} + c_{2} e^{- \frac{8 t}{7}} t

Graph

Beliebte Beispiele

integral of sqrt(25+x)

\int 25 + x d x

derivative of e^{3x}+e^{-2x}

\frac{d}{d x} (e^{3 x} + e^{- 2 x})

y^{''}+6y^'+15y=0

y^{^{''}} + 6 y^{^{'}} + 15 y = 0

integral of (3t^4-8)t^3

\int (3 t^{4} - 8) t^{3} d t

integral of e^{-4x}x^2

\int e^{- 4 x} x^{2} d x