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

Lösung

erweitern

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

3 x^{2} d x + 4 e^{y} d x + 2 e^{y} x R d y + 5 d y

Schritte zur Lösung

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

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

Multipliziere aus

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

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

Multipliziere aus

d y (2 R x e^{y} + 5) : 2 e^{y} x R d y + 5 d y

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

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

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

e x p an d (x + Δ)^{3}

e x p an d (16 - 8 x^{\frac{1}{2}} + x)^{2}

e x p an d 3 x (3 x - 40 + 1 = 0)