What is the solution for (dy)/(dx)=1+x+y^2+xy^2 ?

The solution for (dy)/(dx)=1+x+y^2+xy^2 is y=tan((x^2)/2+x+c_{1})

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(dy)/(dx)=1+x+y^2+xy^2

\frac{d y}{d x} = 1 + x + y^{2} + x y^{2}

y = tan (\frac{x ^{2}}{2} + x + c_{1})

Solution steps

\frac{d y}{d x} = 1 + x + y^{2} + x y^{2}

Solve separable ODE:

y = tan (\frac{x ^{2}}{2} + x + c_{1})

y = tan (\frac{x ^{2}}{2} + x + c_{1})

x \to 2 + lim (\frac{2}{x - 2})

x \to 1 lim (7 x + 5)

\frac{d y}{d x} = (y - 1) (y + 1), y (0) = 3

e^{3 x}, e^{7 x}, x = 1

n = 1 \sum \infty (1.06)^{n}

What is the solution for (dy)/(dx)=1+x+y^2+xy^2 ?
The solution for (dy)/(dx)=1+x+y^2+xy^2 is y=tan((x^2)/2+x+c_{1})