What is the solution for x(dy)/(dx)+22y= 1/x ?

The solution for x(dy)/(dx)+22y= 1/x is y= 1/(21x)+(c_{1})/(x^{22)}

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x(dy)/(dx)+22y= 1/x

x \frac{d y}{d x} + 22 y = \frac{1}{x}

y = \frac{1}{21 x} + \frac{c _{1}}{x ^{22}}

Solution steps

x \frac{d y}{d x} + 22 y = \frac{1}{x}

Solve linear ODE:

y = \frac{1}{21 x} + \frac{c _{1}}{x ^{22}}

y = \frac{1}{21 x} + \frac{c _{1}}{x ^{22}}

\frac{e ^{2 x} - e ^{x} + 1}{e ^{x}}

y^{^{'}} (x) = \frac{6 x ^{2}}{6 y ^{2} - 7}, y (1) = 0

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

y = x^{5^{x}}

\frac{\partial}{\partial y} (x sin (y) + z e^{x})

What is the solution for x(dy)/(dx)+22y= 1/x ?
The solution for x(dy)/(dx)+22y= 1/x is y= 1/(21x)+(c_{1})/(x^{22)}