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Popular >

xy^'+1/2 y=x

Solution

x y^{^{'}} + \frac{1}{2} y = x

Solution

y = \frac{2 x}{3} + \frac{c _{1}}{x}

Solution steps

x y^{'} (x) + \frac{1}{2} y = x

Solve linear ODE:

y = \frac{2 x}{3} + \frac{c _{1}}{x}

y = \frac{2 x}{3} + \frac{c _{1}}{x}

Popular Examples

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derivative of xsinh(x-6cosh(x))

\frac{d}{d x} (x sinh (x) - 6 cosh (x))

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

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

(\partial)/(\partial x)((x/y)^2)

\frac{\partial}{\partial x} ((\frac{x}{y})^{2})

integral of (x^2)/(2+x)

\int \frac{x ^{2}}{2 + x} d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'+1/2 y=x ?
The solution for xy^'+1/2 y=x is y=(2x)/3+(c_{1})/(sqrt(x))