(d^2)/(dx^2)((y(t,x))(t^3+t))

Lösung

\frac{d ^{2}}{d x ^{2}} ((y (t, x)) (t^{3} + t))

(t^{3} + t) \frac{d}{d x} (\frac{d}{d x} (y (t, x)))

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} ((y (t, x)) (t^{3} + t))

\frac{d}{d x} (y (t, x) (t^{3} + t)) = (t^{3} + t) \frac{d}{d x} (y (t, x))

= \frac{d}{d x} ((t^{3} + t) \frac{d}{d x} (y (t, x)))

\frac{d}{d x} ((t^{3} + t) \frac{d}{d x} (y (t, x))) = (t^{3} + t) \frac{d}{d x} (\frac{d}{d x} (y (t, x)))

= (t^{3} + t) \frac{d}{d x} (\frac{d}{d x} (y (t, x)))

e x p an d (y^{3} + 5 x y^{4} - 2 x) d x + (3 x y^{2} + 20 x^{2} y^{3}) d x

e x p an d (y^{3} + 5 x y^{4} - 2 x) d x + (3 x y^{2} + 20 x^{2} y^{3}) d y

e x p an d (x) d x + (y - 2 x) d y

e x p an d \frac{x ( x ^{\frac{1}{3}} - x ^{\frac{3}{2}} )}{x ^{\frac{2}{3}} - x ^{\frac{3}{2}}}

e x p an d \frac{Δ x ( - x + 1 )}{( x + Δ x + 1 ) ( x + 1 )}