erweitern (d^2)/(dt^2)(x(t,α))+ω^2(acos(ω)t+α)

Lösung

erweitern

\frac{d ^{2}}{d t ^{2}} (x (t, α)) + ω^{2} (a cos (ω) t + α)

\frac{d ^{2}}{d t ^{2}} (x (t, α)) + ω^{2} a t cos (ω) + ω^{2} α

Schritte zur Lösung

\frac{d ^{2}}{d t ^{2}} (x (t, α)) + ω^{2} (a cos (ω) t + α)

= \frac{d ^{2}}{d t ^{2}} (x (, t α)) + ω^{2} (a t cos (ω) + α)

Multipliziere aus

ω^{2} (a cos (ω) t + α) : ω^{2} a t cos (ω) + ω^{2} α

= \frac{d ^{2}}{d t ^{2}} (x (t, α)) + ω^{2} a t cos (ω) + ω^{2} α

e x p an d l im x \Rightarrow - 2 (x^{2} - x - 64 - 2 x)

\frac{d}{d t} ((r (t)) (t + t^{3} - t^{2}))

e x p an d - \frac{( - x + 6 ) ^{2}}{2}

e x p an d (3 + 2 y^{2} + 4 y)^{5}

e x p an d (2 x^{2} + 6 x - 4) (2 x^{2} - 3 x)^{'}