Afirst order linear equation in the form y′+p(x)y=f(x) can be solved by finding an integrating factor μ(x)=exp⁡(∫p(x)dx) (1) given the equation y′+2xy=8x find μ(x)=

Answer-

Solution-

Given differential equation is,

Comparing it with the general equation of first order linear equation, we get that,

Now, calculating the value of the integrating factor,

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.