What is the solution for (4+x^2)(dy)/(dx)+2xy=4x ?

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

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(4+x^2)(dy)/(dx)+2xy=4x

(4 + x^{2}) \frac{d y}{d x} + 2 x y = 4 x

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

Solution steps

(4 + x^{2}) \frac{d y}{d x} + 2 x y = 4 x

Solve separable ODE:

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

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

y^{^{'}} - \frac{3}{4} y = x^{4} \frac{y ^{1}}{3}

y^{^{'}} = \frac{( ln ^{4} ( x ) )}{( x \cdot y ) ^{2}}, y (1) = 2

y^{^{'}} + 16 x y = 0

\frac{d y}{d x} + y cos (x) = 8 cos (x), y (0) = 10

(x + 1) d t - (x t - x) d x = 0

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