What is the solution for (dy)/(dx)=x^3(x-xy) ?

The solution for (dy)/(dx)=x^3(x-xy) is y=e^{-(x^5)/5+c_{1}}+1

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(dy)/(dx)=x^3(x-xy)

\frac{d y}{d x} = x^{3} (x - x y)

y = e^{- \frac{x ^{5}}{5} + c_{1}} + 1

Solution steps

\frac{d y}{d x} = x^{3} (x - x y)

Solve separable ODE:

y = e^{- \frac{x ^{5}}{5} + c_{1}} + 1

y = e^{- \frac{x ^{5}}{5} + c_{1}} + 1

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

\int 5^{s i n (x)} cos (x) d x

n = 1 \sum \infty \frac{2 ^{n}}{e ^{n}}

\frac{d}{d x} (\frac{1}{2 x + sin ^{3} ( x )})

\frac{d}{d x} ((2 x^{2} - 6 x + 1)^{- 8})

What is the solution for (dy)/(dx)=x^3(x-xy) ?
The solution for (dy)/(dx)=x^3(x-xy) is y=e^{-(x^5)/5+c_{1}}+1