(2y-1)dy/dx=(3x^2+1) given that x=1 when y=2

plz show step thanks

2)
(a)find the general solution of the equation (x-2)dy/dx+3y(x-1)/(x+1)=1

b)given the boundary condition y=5 when x=-1,find the particular solution of the condition given in (a)

a little help would do thanks i have the basic of calculus

1 answer

see your earlier post for #1
For #2, review your techniques for 1st order linear ODEs, and see whether you can get the solution given here:

http://www.wolframalpha.com/input/?i=(x-2)+dy%2Fdx+%3D+1-3y(x-1)%2F(x%2B1)

Solve the homogeneous equation using partial fractions, and then work into the general solution.