What is expand y'(x)+x(y'(x)+x) ?

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

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expand y'(x)+x(y'(x)+x)

expand

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

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

Solution steps

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

Expand

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

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

\frac{- s ^{2} + 36}{( s ^{2} + 36 ) ^{2}}

\frac{2 a}{( a ^{2} - b ^{2} ) ( a ^{2} + 3 b ^{2} )}

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

- \frac{( r _{2} w ^{2} L c - r _{1} ) ( 1 - w ^{2} L c )}{w ^{2} c ^{3}}

\frac{3 s ^{3} + 2 s ^{2} + 4 s - 1}{( s ^{2} + 4 ) ( s ^{2} + 9 )}

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