What is the solution for (x^2+1)(dy)/(dx)+xy=4sqrt(1+x^2) ?

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

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(x^2+1)(dy)/(dx)+xy=4sqrt(1+x^2)

(x^{2} + 1) \frac{d y}{d x} + x y = 4 1 + x^{2}

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

Solution steps

(x^{2} + 1) \frac{d y}{d x} + x y = 4 1 + x^{2}

Solve linear ODE:

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

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

4 x^{2} - x^{3}

\int_{- \infty}^{0} \frac{1}{5 - 10 x} d x

\int \frac{π}{2}

\frac{d}{d x} ((ln (x))^{4})

f (x) = 3 tan (x)

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