What is the solution for x(dy)/(dx)+y=11sqrt(x) ?

The solution for x(dy)/(dx)+y=11sqrt(x) is y=(22x^{1/2})/3+(c_{1})/x

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x(dy)/(dx)+y=11sqrt(x)

x \frac{d y}{d x} + y = 11 x

y = \frac{22 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

Solution steps

x \frac{d y}{d x} + y = 11 x

Solve linear ODE:

y = \frac{22 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

y = \frac{22 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

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

s l o p e in t erce pt (4, 3), (- 2, 9)

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

\int 1 - 64 x^{2} d x

\frac{d}{d x} (\frac{x ln ( x )}{1 + ln ( x )})

What is the solution for x(dy)/(dx)+y=11sqrt(x) ?
The solution for x(dy)/(dx)+y=11sqrt(x) is y=(22x^{1/2})/3+(c_{1})/x