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

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

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

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

y = \frac{tan ( 2 ( x + c _{1} ) )}{2 2} - \frac{x}{2}

Solution steps

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

Solve using substitution:

y = \frac{tan ( 2 ( x + c _{1} ) )}{2 2} - \frac{x}{2}

y = \frac{tan ( 2 ( x + c _{1} ) )}{2 2} - \frac{x}{2}

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