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

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

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(dy)/(dx)=x(1+x)(1+y)

\frac{d y}{d x} = x (1 + x) (1 + y)

y = e^{\frac{x ^{3}}{3} + \frac{x ^{2}}{2} + c_{1}} - 1

Solution steps

\frac{d y}{d x} = x (1 + x) (1 + y)

Solve separable ODE:

y = e^{\frac{x ^{3}}{3} + \frac{x ^{2}}{2} + c_{1}} - 1

y = e^{\frac{x ^{3}}{3} + \frac{x ^{2}}{2} + c_{1}} - 1

\int_{0}^{2} ln (x^{2}) d x

\frac{\partial}{\partial x} (\frac{1}{2} (a + b) h)

sin (0)

f (t) = e^{e^{e^{e^{t}}}}

\frac{d}{d t} (4 ln (t))

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