What is the solution for (dy)/(dx)=14xe^6x(36+y^2) ?

The solution for (dy)/(dx)=14xe^6x(36+y^2) is y=6tan(28e^6x^3+c_{1})

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(dy)/(dx)=14xe^6x(36+y^2)

\frac{d y}{d x} = 14 x e^{6} x (36 + y^{2})

y = 6 tan (28 e^{6} x^{3} + c_{1})

Solution steps

\frac{d y}{d x} = 14 x e^{6} x (36 + y^{2})

Solve separable ODE:

y = 6 tan (28 e^{6} x^{3} + c_{1})

y = 6 tan (28 e^{6} x^{3} + c_{1})

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What is the solution for (dy)/(dx)=14xe^6x(36+y^2) ?
The solution for (dy)/(dx)=14xe^6x(36+y^2) is y=6tan(28e^6x^3+c_{1})