(d^2)/(dx^2)((y(t,x))(1+t^2))

解

\frac{d ^{2}}{d x ^{2}} ((y (t, x)) (1 + t^{2}))

(1 + t^{2}) \frac{d}{d x} (\frac{d}{d x} (y (t, x)))

解答ステップ

\frac{d ^{2}}{d x ^{2}} ((y (t, x)) (1 + t^{2}))

\frac{d}{d x} (y (t, x) (1 + t^{2})) = (1 + t^{2}) \frac{d}{d x} (y (t, x))

= \frac{d}{d x} ((1 + t^{2}) \frac{d}{d x} (y (t, x)))

\frac{d}{d x} ((1 + t^{2}) \frac{d}{d x} (y (t, x))) = (1 + t^{2}) \frac{d}{d x} (\frac{d}{d x} (y (t, x)))

= (1 + t^{2}) \frac{d}{d x} (\frac{d}{d x} (y (t, x)))