What is the solution for (4+x)(dy)/(dx)+y=4+x ?

The solution for (4+x)(dy)/(dx)+y=4+x is y=(4x)/(4+x)+(x^2)/(2(4+x))+(c_{1})/(4+x)

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(4+x)(dy)/(dx)+y=4+x

(4 + x) \frac{d y}{d x} + y = 4 + x

y = \frac{4 x}{4 + x} + \frac{x ^{2}}{2 ( 4 + x )} + \frac{c _{1}}{4 + x}

Solution steps

(4 + x) \frac{d y}{d x} + y = 4 + x

Solve linear ODE:

y = \frac{4 x}{4 + x} + \frac{x ^{2}}{2 ( 4 + x )} + \frac{c _{1}}{4 + x}

y = \frac{4 x}{4 + x} + \frac{x ^{2}}{2 ( 4 + x )} + \frac{c _{1}}{4 + x}

What is the solution for (4+x)(dy)/(dx)+y=4+x ?
The solution for (4+x)(dy)/(dx)+y=4+x is y=(4x)/(4+x)+(x^2)/(2(4+x))+(c_{1})/(4+x)