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

The solution to expand (cos^2(x)+ysin(2x))y'(x)+y^2 is cos^2(x)y'(x)+sin(2x)y'(x)y+y^2

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expand (cos^2(x)+ysin(2x))y'(x)+y^2

expand

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

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

Solution steps

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

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

Expand

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

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

(4 - (x + 15)) (- 4 + x + 15)

\frac{sin ( x ) + cot ( x ) ( 1 + cos ( x ) )}{1 + cos ( x )}

\frac{( 3 y - 5 ) ^{2}}{2}

lo g_{4} (64)

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

What is expand (cos^2(x)+ysin(2x))y'(x)+y^2 ?
The solution to expand (cos^2(x)+ysin(2x))y'(x)+y^2 is cos^2(x)y'(x)+sin(2x)y'(x)y+y^2