Find the solution to the differential equation (x + 1 x ) dy dx + 2y = 2(x^2 + 1)^2…

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

Problem

Find the solution to the differential equation

\left(x + \frac{1}{x}\right) \frac{dy}{dx} + 2y = 2(x^2 + 1)^2

giving

y

in terms of

x

. (1) Find the general solution. (2) Find the particular solution satisfying the condition that

y = 1

x = 1