erweitern (xy^2+bx^2y)+(x+y)x^2(dy)/(dx)

Lösung

erweitern

(x y^{2} + b x^{2} y) + (x + y) x^{2} \frac{d y}{d x}

x y^{2} + b x^{2} y + x^{3} \frac{d y}{d x} + x^{2} y \frac{d y}{d x}

Schritte zur Lösung

(x y^{2} + b x^{2} y) + (x + y) x^{2} \frac{d y}{d x}

= (x y^{2} + b x^{2} y) + x^{2} (x + y) \frac{d y}{d x}

Multipliziere aus

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

= (x y^{2} + b x^{2} y) + x^{3} \frac{d y}{d x} + x^{2} y \frac{d y}{d x}

Entferne die Klammern:

(a) = a

= x y^{2} + b x^{2} y + x^{3} \frac{d y}{d x} + x^{2} y \frac{d y}{d x}

e x p an d a (- 2, - 3) b (- 4, - 5) c (- 1, - 6)

e x p an d (2 x + 1) l e f t (1 + x - x^{2})

e x p an d \frac{( x + 1 ) ^{2} ( 4 x ^{4} + 13 x ^{3} + 6 x ^{2} - x - 4 )}{( x + 2 ) ^{3}}

e x p an d \frac{z \cdot ( 3 \cdot z - 1 )}{( z + 1 ) \cdot ( z + 2 )}

e x p an d \frac{0.002412 ( z + 2.51 )}{z}