What is the solution for (x^2+16)(dy)/(dx)+xy-4x=0 ?

The solution for (x^2+16)(dy)/(dx)+xy-4x=0 is y=(c_{1})/(sqrt(x^2+16))+4

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(x^2+16)(dy)/(dx)+xy-4x=0

(x^{2} + 16) \frac{d y}{d x} + x y - 4 x = 0

y = \frac{c _{1}}{x ^{2} + 16} + 4

Solution steps

(x^{2} + 16) \frac{d y}{d x} + x y - 4 x = 0

Solve separable ODE:

y = \frac{c _{1}}{x ^{2} + 16} + 4

y = \frac{c _{1}}{x ^{2} + 16} + 4

\frac{7}{4 x ^{5}}

\frac{d x}{d t} = (\frac{6 x}{2000 + 12 t})

\int_{1}^{4} 1 e^{x} d x

\frac{\partial}{\partial x} (3 x^{2})

g (x) = 2 x^{2}

What is the solution for (x^2+16)(dy)/(dx)+xy-4x=0 ?
The solution for (x^2+16)(dy)/(dx)+xy-4x=0 is y=(c_{1})/(sqrt(x^2+16))+4