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Beliebt Rechnen >

3y^{''}-5y^'-14y=0

Lösung

3 y^{^{''}} - 5 y^{^{'}} - 14 y = 0

Lösung

y = c_{1} e^{\frac{( 5 + 193 ) t}{6}} + c_{2} e^{\frac{( 5 - 193 ) t}{6}}

Schritte zur Lösung

3 y^{''} (t) - 5 y^{'} (t) - 14 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( 5 + 193 ) t}{6}} + c_{2} e^{\frac{( 5 - 193 ) t}{6}}

y = c_{1} e^{\frac{( 5 + 193 ) t}{6}} + c_{2} e^{\frac{( 5 - 193 ) t}{6}}

Graph

Beliebte Beispiele

integral from 4 to 7 of (x-6)^2

\int_{4}^{7} (x - 6)^{2} d x

limit as x approaches 5 of (x^2-9)/(x-3)

x \to 5 lim (\frac{x ^{2} - 9}{x - 3})

y^{^{'}} - 2 y = 4

derivative sin(tan(e^{x^2}))

d er i v a t i v e sin (tan (e^{x^{2}}))

integral of 1/((s^2+1)^3)

\int \frac{1}{( s ^{2} + 1 ) ^{3}} d s