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Beliebt Rechnen >

5/3 y^{''}+10y^'+30y=300

Lösung

\frac{5}{3} y^{^{''}} + 10 y^{^{'}} + 30 y = 300

Lösung

y = e^{- 3 t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + 10

Schritte zur Lösung

\frac{5}{3} y^{''} (t) + 10 y^{'} (t) + 30 y = 300

Solve linear ODE:

y = e^{- 3 t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + 10

y = e^{- 3 t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + 10

Graph

Beliebte Beispiele

3y^{''}-4y^'+y=x-7

3 y^{^{''}} - 4 y^{^{'}} + y = x - 7

(d^2y)/(dx^2)+y=sec(x)

\frac{d ^{2} y}{d x ^{2}} + y = sec (x)

y^{''}-y^'=e^xcos(x)

y^{^{''}} - y^{^{'}} = e^{x} cos (x)

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

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

y^{''}+y=-sec^2(x)

y^{^{''}} + y = - sec^{2} (x)