What is the solution for (dy)/(dx)=2(2x+y)^2 ?

The solution for (dy)/(dx)=2(2x+y)^2 is y=tan(2x+c_{1})-2x

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(dy)/(dx)=2(2x+y)^2

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

y = tan (2 x + c_{1}) - 2 x

Solution steps

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

Solve using substitution:

y = tan (2 x + c_{1}) - 2 x

y = tan (2 x + c_{1}) - 2 x

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What is the solution for (dy)/(dx)=2(2x+y)^2 ?
The solution for (dy)/(dx)=2(2x+y)^2 is y=tan(2x+c_{1})-2x