What is the solution for xy^'+y=55sqrt(x) ?

The solution for xy^'+y=55sqrt(x) is y=(110x^{1/2})/3+(c_{1})/x

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xy^'+y=55sqrt(x)

x y^{^{'}} + y = 55 x

y = \frac{110 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

Solution steps

x y^{'} (x) + y = 55 x

Solve linear ODE:

y = \frac{110 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

y = \frac{110 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

\int \frac{5 sin ( 2 x )}{sin ( x )} d x

y = 1 0^{n x}

\int \frac{e ^{- 3 x}}{x} d x

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

3 x^{\frac{2}{3}}

What is the solution for xy^'+y=55sqrt(x) ?
The solution for xy^'+y=55sqrt(x) is y=(110x^{1/2})/3+(c_{1})/x