erweitern (4x^3y^2+5x^2y^3)dx+(5x^3y^2-4x^2y^3)dy

Lösung

erweitern

(4 x^{3} y^{2} + 5 x^{2} y^{3}) d x + (5 x^{3} y^{2} - 4 x^{2} y^{3}) d y

4 x^{3} y^{2} d x + 5 x^{2} y^{3} d x + 5 x^{3} y^{2} d y - 4 x^{2} y^{3} d y

Schritte zur Lösung

(4 x^{3} y^{2} + 5 x^{2} y^{3}) d x + (5 x^{3} y^{2} - 4 x^{2} y^{3}) d y

Multipliziere aus

d x (4 x^{3} y^{2} + 5 x^{2} y^{3}) : 4 x^{3} y^{2} d x + 5 x^{2} y^{3} d x

= 4 x^{3} y^{2} d x + 5 x^{2} y^{3} d x + (5 x^{3} y^{2} - 4 x^{2} y^{3}) d y

Multipliziere aus

d y (5 x^{3} y^{2} - 4 x^{2} y^{3}) : 5 x^{3} y^{2} d y - 4 x^{2} y^{3} d y

= 4 x^{3} y^{2} d x + 5 x^{2} y^{3} d x + 5 x^{3} y^{2} d y - 4 x^{2} y^{3} d y

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

e x p an d L (x) (x^{'} + 3 x)

e x p an d \frac{3 ( n + 1 )}{2 n}

e x p an d - 2 [\frac{y - 10}{5}]^{2}

e x p an d y^{(4)} t - (λ + 1) y^{'''} (t) + λ y^{''} (t)