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Popular >

y^'-2xy=x

Solution

y^{^{'}} - 2 x y = x

Solution

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

Solution steps

y^{'} (x) - 2 x y = x

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

integral of cos^5(x

\int cos^{5} (d) x d x

integral of (10)/(1-sin^2(x))

\int \frac{10}{1 - sin ^{2} ( x )} d x

integral of (x^3-3x^2+2x+1)

\int (x^{3} - 3 x^{2} + 2 x + 1) d x

integral of (2x^3+5x^2-2x)/x

\int \frac{2 x ^{3} + 5 x ^{2} - 2 x}{x} d x

limit as x approaches 0 of cos(5x)

x \to 0 lim (cos (5 x))

Frequently Asked Questions (FAQ)

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