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Beliebt Rechnen >

y^{''}-y^'+361y=19sin(19t)

Lösung

y^{^{''}} - y^{^{'}} + 361 y = 19 sin (19 t)

Lösung

y = e^{\frac{t}{2}} (c_{1} cos (\frac{1443 t}{2}) + c_{2} sin (\frac{1443 t}{2})) + cos (19 t)

Schritte zur Lösung

y^{''} (t) - y^{'} (t) + 361 y = 19 sin (19 t)

Solve linear ODE:

y = e^{\frac{t}{2}} (c_{1} cos (\frac{1443 t}{2}) + c_{2} sin (\frac{1443 t}{2})) + cos (19 t)

y = e^{\frac{t}{2}} (c_{1} cos (\frac{1443 t}{2}) + c_{2} sin (\frac{1443 t}{2})) + cos (19 t)

Graph

Beliebte Beispiele

y^{''}-y^'=2e^x

y^{^{''}} - y^{^{'}} = 2 e^{x}

5y^{''}+25y^'+1/(10^{-2)}y=10e^{-0/4}

5 y^{^{''}} + 25 y^{^{'}} + \frac{1}{1 0 ^{- 2}} y = 10 e^{- \frac{0}{4}}

y^{''}+2y^'=2x+4

y^{^{''}} + 2 y^{^{'}} = 2 x + 4

y^{''}+4y^'+3y=e^t+sin(t)

y^{^{''}} + 4 y^{^{'}} + 3 y = e^{t} + sin (t)

y^{''''}-y=5t+cos(t)

y^{^{''''}} - y = 5 t + cos (t)