What is the solution for y^'=(y+9x)^2 ?

The solution for y^'=(y+9x)^2 is y=3tan(3x+c_{1})-9x

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y^'=(y+9x)^2

y^{^{'}} = (y + 9 x)^{2}

y = 3 tan (3 x + c_{1}) - 9 x

Solution steps

y^{'} (x) = (y + 9 x)^{2}

Solve using substitution:

y = 3 tan (3 x + c_{1}) - 9 x

y = 3 tan (3 x + c_{1}) - 9 x

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What is the solution for y^'=(y+9x)^2 ?
The solution for y^'=(y+9x)^2 is y=3tan(3x+c_{1})-9x