What is the solution for x(dy)/(dx)+y=6x+1,y(1)=9 ?

The solution for x(dy)/(dx)+y=6x+1,y(1)=9 is y=3x+1+5/x

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x(dy)/(dx)+y=6x+1,y(1)=9

x \frac{d y}{d x} + y = 6 x + 1, y (1) = 9

y = 3 x + 1 + \frac{5}{x}

Solution steps

x \frac{d y}{d x} + y = 6 x + 1

Solve linear ODE:

y = 3 x + 1 + \frac{5}{x}

y = 3 x + 1 + \frac{5}{x}

\frac{d}{d x} (4 sec (x) - 5 x)

x \to 0 + lim (tan^{x} (7 x))

5 e^{- t} sin (2 t)

\frac{\partial}{\partial x} (sin (π (5 x - 4 y)))

x \to 2 - lim (\frac{x - 5}{x - 2})

What is the solution for x(dy)/(dx)+y=6x+1,y(1)=9 ?
The solution for x(dy)/(dx)+y=6x+1,y(1)=9 is y=3x+1+5/x