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Popular >

(dy)/(dx)=2x+2xy

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

limit as x approaches infinity of 3x^5

x \to \infty lim (3 x^{5})

y^2(dy)/(dx)+y^3=1

y^{2} \frac{d y}{d x} + y^{3} = 1

derivative of (x^2+3/(x^2-3))

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

integral from 0 to 7 of 245000pi(7-y)

\int_{0}^{7} 245000 π (7 - y) d y

sum from n=1 to infinity of (n^2)/(5^n)

n = 1 \sum \infty \frac{n ^{2}}{5 ^{n}}

Frequently Asked Questions (FAQ)

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