What is the solution for (x^2+25)(dy)/(dx)+xy=9x ?

The solution for (x^2+25)(dy)/(dx)+xy=9x is y=(c_{1})/(sqrt(x^2+25))+9

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(x^2+25)(dy)/(dx)+xy=9x

(x^{2} + 25) \frac{d y}{d x} + x y = 9 x

y = \frac{c _{1}}{x ^{2} + 25} + 9

Solution steps

(x^{2} + 25) \frac{d y}{d x} + x y = 9 x

Solve separable ODE:

y = \frac{c _{1}}{x ^{2} + 25} + 9

y = \frac{c _{1}}{x ^{2} + 25} + 9

(x + 1) d y - 3 y d x = 0

y^{^{'}} - \frac{x sin ( x )}{3 y ^{2}} = 0, y (0) = 2

u^{^{'}} = e^{4 x - H (x)}

\frac{d y}{d x} + 2 x y = 2 x, y (0) = 2

\frac{d y}{d x} + 5 y = 20, y (0) = 2

What is the solution for (x^2+25)(dy)/(dx)+xy=9x ?
The solution for (x^2+25)(dy)/(dx)+xy=9x is y=(c_{1})/(sqrt(x^2+25))+9