(dy)/(dt)=-2tcos(t^2)y+6t^2e^{-sin(t^2)}

Lösung

\frac{d y}{d t} = - 2 t cos (t^{2}) y + 6 t^{2} e^{- s i n (t^{2})}

y = \frac{2 t ^{3}}{e ^{s i n (t^{2})}} + \frac{c _{1}}{e ^{s i n (t^{2})}}

Schritte zur Lösung

\frac{d y}{d t} = - 2 t cos (t^{2}) y + 6 t^{2} e^{- s i n (t^{2})}

Solve linear ODE:

y = \frac{2 t ^{3}}{e ^{s i n (t^{2})}} + \frac{c _{1}}{e ^{s i n (t^{2})}}

y = \frac{2 t ^{3}}{e ^{s i n (t^{2})}} + \frac{c _{1}}{e ^{s i n (t^{2})}}

\int π \cdot x d x

x \to 1 lim (x^{\frac{5}{x ^{2} - 1}})

f (x) = x arcsin (x)

\frac{d}{d x} (\frac{6 x + 5}{7 - 3 x ^{2}})

\int_{0}^{2 π} (1 + sin (u)) d u