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

The solution for x(dy)/(dx)+y=x,y(1)=3 is y= x/2+5/(2x)

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x(dy)/(dx)+y=x,y(1)=3

x \frac{d y}{d x} + y = x, y (1) = 3

y = \frac{x}{2} + \frac{5}{2 x}

Solution steps

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

Solve linear ODE:

y = \frac{x}{2} + \frac{5}{2 x}

y = \frac{x}{2} + \frac{5}{2 x}

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What is the solution for x(dy)/(dx)+y=x,y(1)=3 ?
The solution for x(dy)/(dx)+y=x,y(1)=3 is y= x/2+5/(2x)