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

The solution to expand y+(2x+y^2e^y)y'(x) is y+2xy'(x)+e^yy'(x)y^2

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expand y+(2x+y^2e^y)y'(x)

expand

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

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

Solution steps

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

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

Expand

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

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

\frac{1}{s \cdot ( s ^{2} + s + 4 )}

(x^{2} + 7 x + 2) (e^{x} - ln (x))

\frac{( x - 1 ) ^{\frac{1}{2}} ( x + 3 ) ^{2}}{x + 3 ^{\frac{1}{2}}}

\frac{x - 9}{x ( x - 3 )}

- 3 (a + 5) (a + 3)^{'}

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