What is the solution for (x^2+4)(dy)/(dx)+xy=2x,y(0)=3 ?

The solution for (x^2+4)(dy)/(dx)+xy=2x,y(0)=3 is y= 2/(sqrt(x^2+4))+2

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(x^2+4)(dy)/(dx)+xy=2x,y(0)=3

(x^{2} + 4) \frac{d y}{d x} + x y = 2 x, y (0) = 3

y = \frac{2}{x ^{2} + 4} + 2

Solution steps

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

Solve separable ODE:

y = \frac{2}{x ^{2} + 4} + 2

y = \frac{2}{x ^{2} + 4} + 2

What is the solution for (x^2+4)(dy)/(dx)+xy=2x,y(0)=3 ?
The solution for (x^2+4)(dy)/(dx)+xy=2x,y(0)=3 is y= 2/(sqrt(x^2+4))+2