What is the solution for xy^'+y=37sqrt(x) ?

The solution for xy^'+y=37sqrt(x) is y=(74x^{1/2})/3+(c_{1})/x

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xy^'+y=37sqrt(x)

x y^{^{'}} + y = 37 x

y = \frac{74 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

Solution steps

x y^{'} (x) + y = 37 x

Solve linear ODE:

y = \frac{74 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

y = \frac{74 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

x \to 0 lim (\frac{4 ^{x} - 1 0 ^{x}}{x})

\frac{d}{d t} (1 + cos (t))

- 2 y^{^{'}} + \frac{4 y}{x} = \frac{y ^{3}}{x}

\frac{d}{d t} (\frac{1}{t ^{2}})

What is the solution for xy^'+y=37sqrt(x) ?
The solution for xy^'+y=37sqrt(x) is y=(74x^{1/2})/3+(c_{1})/x