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Beliebt Rechnen >

y^{''}+2y^'=3+sin(t)

Lösung

y^{^{''}} + 2 y^{^{'}} = 3 + sin (t)

Lösung

y = c_{1} + c_{2} e^{- 2 t} + \frac{3 t}{2} - \frac{1}{5} sin (t) - \frac{2}{5} cos (t)

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) = 3 + sin (t)

Solve linear ODE:

y = c_{1} + c_{2} e^{- 2 t} + \frac{3 t}{2} - \frac{1}{5} sin (t) - \frac{2}{5} cos (t)

y = c_{1} + c_{2} e^{- 2 t} + \frac{3 t}{2} - \frac{1}{5} sin (t) - \frac{2}{5} cos (t)

Graph

Beliebte Beispiele

y^{''}-2y+10y=e^xcos(3x)

y^{^{''}} - 2 y + 10 y = e^{x} cos (3 x)

y^{''}+y^'-2y=-10

y^{^{''}} + y^{^{'}} - 2 y = - 10

y^{''}-2y^'-3y=2cos(3x)

y^{^{''}} - 2 y^{^{'}} - 3 y = 2 cos (3 x)

(d^4y)/(dx^4)+4y=cos(2x)

\frac{d ^{4} y}{d x ^{4}} + 4 y = cos (2 x)

y^{''}-10y^'+24y=90e^t

y^{^{''}} - 10 y^{^{'}} + 24 y = 90 e^{t}