What is the solution for (x^2+16)(dy)/(dx)+xy=2x ?

The solution for (x^2+16)(dy)/(dx)+xy=2x is y=(c_{1})/(sqrt(x^2+16))+2

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(x^2+16)(dy)/(dx)+xy=2x

(x^{2} + 16) \frac{d y}{d x} + x y = 2 x

y = \frac{c _{1}}{x ^{2} + 16} + 2

Solution steps

(x^{2} + 16) \frac{d y}{d x} + x y = 2 x

Solve separable ODE:

y = \frac{c _{1}}{x ^{2} + 16} + 2

y = \frac{c _{1}}{x ^{2} + 16} + 2

\frac{d y}{d x} = 6 x 5 y + 7, y (0) = 9

e^{y} y^{^{'}} = \frac{( ln ( t ) ) ^{2}}{t}, y (1) = ln (11)

5 y^{^{'}} - 6 e^{3 x} y = 0, y (0) = 5

y^{^{'}} + \frac{y}{10} = \frac{v}{10}

\frac{d y}{d t} - 6 t y^{2} = 0

What is the solution for (x^2+16)(dy)/(dx)+xy=2x ?
The solution for (x^2+16)(dy)/(dx)+xy=2x is y=(c_{1})/(sqrt(x^2+16))+2