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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- 2 t} - \frac{1}{6} sin (2 t) - \frac{1}{3 2} cos (2 t)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- 2 t} - \frac{1}{6} sin (2 t) - \frac{1}{3 2} cos (2 t)

y = c_{1} + c_{2} e^{- 2 t} - \frac{1}{6} sin (2 t) - \frac{1}{3 2} cos (2 t)

Graph

Beliebte Beispiele

integral from 0 to 3 of (5x-x^2)-(2x)

\int_{0}^{3} (5 x - x^{2}) - (2 x) d x

(d^2)/(dx^2)(-(2x^2)/(5y^2))

\frac{d ^{2}}{d x ^{2}} (- \frac{2 x ^{2}}{5 y ^{2}})

(dy)/(dx)=e^{6y+10x}

\frac{d y}{d x} = e^{6 y + 10 x}

derivative of 2x-(16/(x^2))

\frac{d}{d x} (2 x - \frac{16}{x ^{2}})

integral from 0 to 6 of 2x+1

\int_{0}^{6} 2 x + 1 d x