Question

Solve the differential equation

Answer 1

http://www.wolframalpha.com/input/?i=y%27+%28x%29+%2B+2+x%2F%281+%2B+x^2%29+y++%3D+x^3

Answer 2

Use the initial condition to find c1

Answer 3

oh, this type using partial fractions? okay thanks!(:

Answer 4

Yo0u first find the solution of
y' + 2 x/(1 + x^2) y =0
then find a particular solution for
y' + 2 x/(1 + x^2) y =x^3
and ad them up

Answer 5

No, we are not using partial fractions

Answer 6

why the first equation =0?

Answer 7

Have you heard about homogenous equation?

Answer 8

hmm we just learnt about separable equations..

Answer 9

Have you learned about integrating factors?

Answer 10

May be try to do it like
http://www.stewartcalculus.com/data/CALCULUS%20Concepts%20and%20Contexts/upfiles/3c3-LinearDiffEqns_Stu.pdf

Answer 11

oh ya i almost forgot abt that.. thanks! :D