What is the solution for (dy)/(dx)=3^{e^{2x}}y^2 ?

The solution for (dy)/(dx)=3^{e^{2x}}y^2 is y=-2/(\Ei(ln(3^{e^{2x)}))+c_{1}}

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(dy)/(dx)=3^{e^{2x}}y^2

\frac{d y}{d x} = 3^{e^{2 x}} y^{2}

y = - \frac{2}{Ei ( ln ( 3 ^{e^{2 x}} ) ) + c _{1}}

Solution steps

\frac{d y}{d x} = 3^{e^{2 x}} y^{2}

Solve separable ODE:

y = - \frac{2}{Ei ( ln ( 3 ^{e^{2 x}} ) ) + c _{1}}

y = - \frac{2}{Ei ( ln ( 3 ^{e^{2 x}} ) ) + c _{1}}

\frac{9}{8 x ^{4}}

x \to 1 lim (\frac{8}{1 - x})

2 x^{^{''}} + 4 x^{^{'}} + 8 x = 0

\frac{d}{d x} (\frac{3}{x ^{2} - 5})

f (x) = 8 x - x^{2}, (1, 7)

What is the solution for (dy)/(dx)=3^{e^{2x}}y^2 ?
The solution for (dy)/(dx)=3^{e^{2x}}y^2 is y=-2/(\Ei(ln(3^{e^{2x)}))+c_{1}}