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Beliebt Rechnen >

y^{''}+5/2 y^'+1.578125y=0

Lösung

y^{^{''}} + \frac{5}{2} y^{^{'}} + 1.578125 y = 0

Lösung

y = e^{- 1.25 t} (c_{1} cos (0.125 t) + c_{2} sin (0.125 t))

Schritte zur Lösung

y^{''} (t) + \frac{5}{2} y^{'} (t) + 1.578125 y = 0

Solve linear ODE:

y = e^{- 1.25 t} (c_{1} cos (0.125 t) + c_{2} sin (0.125 t))

y = e^{- 1.25 t} (c_{1} cos (0.125 t) + c_{2} sin (0.125 t))

Graph

Beliebte Beispiele

u^{''}+2/r u^'=0

u^{^{''}} + \frac{2}{r} u^{^{'}} = 0

y^{''}-sqrt(2)y^'+y=0

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

y^{''}-2y^'-195y=0,y(0)=10,y^'(0)=-46

y^{^{''}} - 2 y^{^{'}} - 195 y = 0, y (0) = 10, y^{^{'}} (0) = - 46

y^{'''}+8y^{''}+7y^'=0

y^{^{'''}} + 8 y^{^{''}} + 7 y^{^{'}} = 0

4/(9.8)y^{''}+0.4y^'+4y=0

\frac{4}{9.8} y^{^{''}} + 0.4 y^{^{'}} + 4 y = 0