What is the solution for y*(dy)/(dx)=5x(9+y^2) ?

The solution for y*(dy)/(dx)=5x(9+y^2) is y=sqrt(e^{5x^2+c_{1)}-9},y=-sqrt(e^{5x^2+c_{1)}-9}

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y*(dy)/(dx)=5x(9+y^2)

y \cdot \frac{d y}{d x} = 5 x (9 + y^{2})

y = e^{5 x^{2} + c_{1}} - 9, y = - e^{5 x^{2} + c_{1}} - 9

Solution steps

y \cdot \frac{d y}{d x} = 5 x (9 + y^{2})

Solve separable ODE:

y = e^{5 x^{2} + c_{1}} - 9, y = - e^{5 x^{2} + c_{1}} - 9

y = e^{5 x^{2} + c_{1}} - 9, y = - e^{5 x^{2} + c_{1}} - 9

x^{2} e^{x^{2}}

\int_{- 3}^{3} ∣ x + 2 ∣ d x

\int e^{6 x} sin (7 x) d x

(4, - 5), (6, - 1)

\frac{x}{1 + x ^{2}}, at x = 1

What is the solution for y*(dy)/(dx)=5x(9+y^2) ?
The solution for y*(dy)/(dx)=5x(9+y^2) is y=sqrt(e^{5x^2+c_{1)}-9},y=-sqrt(e^{5x^2+c_{1)}-9}