What is the solution for (dy)/(dx)=(x+y)^2+1 ?

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

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(dy)/(dx)=(x+y)^2+1

\frac{d y}{d x} = (x + y)^{2} + 1

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

Solution steps

\frac{d y}{d x} = (x + y)^{2} + 1

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