Question

solve
x dy/dx+3y=4x , y(0)=0

@zepdrix

Answer 1

This is a linear equation and can be solved with an integrating factor. Do you know how to use that technique?

Answer 2

weve gone over them in class however what we do in class seems much easier than on the homework..

Answer 3

I have to eat dinner. In the meantime, use this to try to figure out the integrating factor, mu.

Answer 4

oops
http://tutorial.math.lamar.edu/Classes/DE/Linear.aspx

Answer 5

Hi friend, I just give the idea for you to consider, you have the equation as x y' + 3y = 4x
you should change a little bit as xy' + 3y - 4x =0. it looks like the formula to figure out characteristic equation with the variable is y and its derivative. Don't take x as variable as usual. take it as a number and solve for y. since you have y(0) =0, try my way. (I'm taking discrete math, not master enough to give out the whole thing but i can see it is characteristic equation form

Answer 6

took discrete. it was hard. bu this is a whole new level of math. i can see where your talking about and gave it a though however im gnna need an integrating factor, just gotta figure out which one

Answer 7

thank you, I am waiting for the solution from others. I need it too. for my math classes. If you know how to solve it, post it please

Answer 8

first step: get the coefficient of y' to be 1
so divide both sides by x
y'+3y/x=4

the integrating factor is then\[\large\mu(x)=e^{\int\frac{dx}x}\]