What is expand (y^2-xy)(dy)/(dx)+x^2 ?

The solution to expand (y^2-xy)(dy)/(dx)+x^2 is y^2(dy)/(dx)-yx(dy)/(dx)+x^2

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expand (y^2-xy)(dy)/(dx)+x^2

expand

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

y^{2} \frac{d y}{d x} - y x \frac{d y}{d x} + x^{2}

Solution steps

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

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

Expand

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

= y^{2} \frac{d y}{d x} - y x \frac{d y}{d x} + x^{2}

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

\frac{5 - 5 x ^{2} + 35 x}{( x + 6 ) ( x - 7 )}

(x y^{2} + x^{2} y) d y - x y^{2} d x

e (3 ln ∣ x ∣ + C)

(2 x e^{y} + e^{y}) d x + (x^{2} + 1) e^{y} d y

What is expand (y^2-xy)(dy)/(dx)+x^2 ?
The solution to expand (y^2-xy)(dy)/(dx)+x^2 is y^2(dy)/(dx)-yx(dy)/(dx)+x^2