What is expand (x^2-1)y+y^2(x+1)y'(x) ?

The solution to expand (x^2-1)y+y^2(x+1)y'(x) is x^2y-y+xy^2y'(x)+y^2y'(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x^2-1)y+y^2(x+1)y'(x)

expand

(x^{2} - 1) y + y^{2} (x + 1) y^{'} (x)

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

Solution steps

(x^{2} - 1) y + y^{2} (x + 1) y^{'} (x)

Expand

y (x^{2} - 1) : x^{2} y - y

= x^{2} y - y + y^{2} (x + 1) y^{'} (x)

Expand

y^{2} y^{'} (x) (x + 1) : x y^{2} y^{'} (x) + y^{2} y^{'} (x)

= x^{2} y - y + x y^{2} y^{'} (x) + y^{2} y^{'} (x)

3 (8 π - \frac{64 π - 48 3}{9})

- \frac{K}{x ( x - K )}

1 - cos^{2} (x)

3 (2 + Δ x)^{2}

\frac{1}{3} (\frac{e ^{\frac{x}{3}} H ( x )}{3} + e^{\frac{x}{3}} u^{'} (x) x)

What is expand (x^2-1)y+y^2(x+1)y'(x) ?
The solution to expand (x^2-1)y+y^2(x+1)y'(x) is x^2y-y+xy^2y'(x)+y^2y'(x)