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Popular Calculus >

(dy)/(dx)=x+xy

Solution

\frac{d y}{d x} = x + x y

Solution

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

Solution steps

\frac{d y}{d x} = x + x y

Solve separable ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

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