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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

derivative of (3x+1^3)

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

sum from n=2 to infinity of 1/(2n*ln(n))

n = 2 \sum \infty \frac{1}{2 n \cdot ln ( n )}

derivative of x^{-2}(5x^2-4)^3 derivative of

x^{- 2} (5 x^{2} - 4)^{3}

(2x^3+xy^2)+(x^2y+2y^3)(dy)/(dx)=0

(2 x^{3} + x y^{2}) + (x^{2} y + 2 y^{3}) \frac{d y}{d x} = 0

integral from 0 to t of e^{-s^2}

\int_{0}^{t} e^{- s^{2}} d s

Frequently Asked Questions (FAQ)

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