What is the solution for (x^2+1)(dy)/(dx)+3xy=6x ?

The solution for (x^2+1)(dy)/(dx)+3xy=6x is y=(c_{1})/((x^2+1)^{3/2)}+2

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(x^2+1)(dy)/(dx)+3xy=6x

(x^{2} + 1) \frac{d y}{d x} + 3 x y = 6 x

y = \frac{c _{1}}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 2

Solution steps

(x^{2} + 1) \frac{d y}{d x} + 3 x y = 6 x

Solve separable ODE:

y = \frac{c _{1}}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 2

y = \frac{c _{1}}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 2

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What is the solution for (x^2+1)(dy)/(dx)+3xy=6x ?
The solution for (x^2+1)(dy)/(dx)+3xy=6x is y=(c_{1})/((x^2+1)^{3/2)}+2