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

lo g_{8} (5 x^{3} + 3 x)

\frac{8 x ^{2} + 8 x + 8}{x}

x \frac{9}{6}, 7

\int_{0}^{2} (1 + x^{2}) d x

\frac{\partial}{\partial x} (\frac{x ^{2}}{16 - y ^{2}})

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