What is the solution for (dy)/(dx)-12y=e^{9x}y^2 ?

The solution for (dy)/(dx)-12y=e^{9x}y^2 is y=(21e^{12x})/(-e^{21x)+c_{1}}

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(dy)/(dx)-12y=e^{9x}y^2

\frac{d y}{d x} - 12 y = e^{9 x} y^{2}

y = \frac{21 e ^{12 x}}{- e ^{21 x} + c _{1}}

Solution steps

\frac{d y}{d x} - 12 y = e^{9 x} y^{2}

Solve Bernoulli ODE:

y = \frac{21 e ^{12 x}}{- e ^{21 x} + c _{1}}

y = \frac{21 e ^{12 x}}{- e ^{21 x} + c _{1}}

\frac{\partial}{\partial x} (4 x y e^{x - y^{2}})

x \to 0 lim (e^{x^{2}} - 1)

\frac{d y}{d x} = x^{2} - y - 2, y (0) = 1

\int 5 x^{\frac{3}{2}} + 2 x d x

\int (1 - 2 x^{2} - \frac{4}{x ^{- 3}}) x^{- 3} d x

What is the solution for (dy)/(dx)-12y=e^{9x}y^2 ?
The solution for (dy)/(dx)-12y=e^{9x}y^2 is y=(21e^{12x})/(-e^{21x)+c_{1}}