What is the solution for xy^'+y=32sqrt(x) ?

The solution for xy^'+y=32sqrt(x) is y=(64x^{1/2})/3+(c_{1})/x

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xy^'+y=32sqrt(x)

x y^{^{'}} + y = 32 x

y = \frac{64 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

Solution steps

x y^{'} (x) + y = 32 x

Solve linear ODE:

y = \frac{64 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

y = \frac{64 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

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\frac{d}{d x} (x^{3} - 5 x + 3)

x \to 1 - lim (x^{\frac{1}{1 - x}})

- \frac{4}{( t + 2 ) ^{2}}

\int \frac{x ^{2} - 1}{x ^{4} - 1} d x

What is the solution for xy^'+y=32sqrt(x) ?
The solution for xy^'+y=32sqrt(x) is y=(64x^{1/2})/3+(c_{1})/x