166y^{''}+135y^'+1313y=36*0.7cos(x)

Lösung

166 y^{^{''}} + 135 y^{^{'}} + 1313 y = 36 \cdot 0.7 cos (x)

y = e^{- \frac{135 x}{332}} (c_{1} cos (\frac{853607 x}{332}) + c_{2} sin (\frac{853607 x}{332})) + 0.00255 \dots sin (x) + 0.02167 \dots cos (x)

Schritte zur Lösung

166 y^{''} (x) + 135 y^{'} (x) + 1313 y = 36 \cdot 0.7 cos (x)

Solve linear ODE:

y = e^{- \frac{135 x}{332}} (c_{1} cos (\frac{853607 x}{332}) + c_{2} sin (\frac{853607 x}{332})) + 0.00255 \dots sin (x) + 0.02167 \dots cos (x)

y = e^{- \frac{135 x}{332}} (c_{1} cos (\frac{853607 x}{332}) + c_{2} sin (\frac{853607 x}{332})) + 0.00255 \dots sin (x) + 0.02167 \dots cos (x)

y^{^{''}} + a y + b = 0

\frac{d}{d x} (x y^{2} - y^{3})

n = 1 \sum \infty \frac{sin ( \frac{1}{n} )}{n}

n = 1 \sum \infty 4^{n + 1}

n = 1 \sum \infty \frac{1}{n ^{2} + 6 n}