What is the solution for (dy)/(dx)+e^xy=x^2y^2 ?

The solution for (dy)/(dx)+e^xy=x^2y^2 is y= 1/(e^{e^x)*integral of-e^{-e^x}x^2}

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(dy)/(dx)+e^xy=x^2y^2

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

y = \frac{1}{e ^{e^{x}} \cdot \int - e ^{- e^{x}} x ^{2} d x}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{1}{e ^{e^{x}} \cdot \int - e ^{- e^{x}} x ^{2} d x}

y = \frac{1}{e ^{e^{x}} \cdot \int - e ^{- e^{x}} x ^{2} d x}

x \to - 2 lim (3 x^{3} - 4 x + 2)

\int \frac{2}{( x ^{2} + 1 ) ^{2} x ^{2}} d x

\frac{d}{d x} (x^{3} (5.4)^{x})

\frac{d}{d x} (x e^{2 y})

n = 0 \sum \infty (- 3 x + 1)^{n}

What is the solution for (dy)/(dx)+e^xy=x^2y^2 ?
The solution for (dy)/(dx)+e^xy=x^2y^2 is y= 1/(e^{e^x)*integral of-e^{-e^x}x^2}