What is the solution for (x^2+16)(dy)/(dx)+xy=5x ?

The solution for (x^2+16)(dy)/(dx)+xy=5x is y=(c_{1})/(sqrt(x^2+16))+5

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(x^2+16)(dy)/(dx)+xy=5x

(x^{2} + 16) \frac{d y}{d x} + x y = 5 x

y = \frac{c _{1}}{x ^{2} + 16} + 5

Solution steps

(x^{2} + 16) \frac{d y}{d x} + x y = 5 x

Solve separable ODE:

y = \frac{c _{1}}{x ^{2} + 16} + 5

y = \frac{c _{1}}{x ^{2} + 16} + 5

What is the solution for (x^2+16)(dy)/(dx)+xy=5x ?
The solution for (x^2+16)(dy)/(dx)+xy=5x is y=(c_{1})/(sqrt(x^2+16))+5