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

The solution for xdy=(y+x^2+9y^2)dx is y=(tan(3x+c_{1})x)/3

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xdy=(y+x^2+9y^2)dx

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

y = \frac{tan ( 3 x + c _{1} ) x}{3}

Solution steps

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

Solve using substitution:

y = \frac{tan ( 3 x + c _{1} ) x}{3}

y = \frac{tan ( 3 x + c _{1} ) x}{3}

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