solution of an initial value problem and general solution of differential equation

slain4ever

1. The problem statement, all variables and given/known data

1. Find he solution of the initial value problem:
x^2 (dy)/(dx) = 4y y(1)=2



2. Find the general solution of the differential equation:
(dy)/(dx) - 2y = e^(5x)


3. The attempt at a solution

i'm completely confused by this, no idea where to start. If someone could work through these questions and explaining (slowly) what they are doing in every step i would be extremely grateful.

LCKurtz

Which of these topics have you studied?

1. Separation of variables
2. Linear equations
3. Constant coefficient equations
4. Integrating factors

Ray Vickson

Are these homework questions in a course? Do your course notes say nothing at all about such problems? Does your textbook have no relevant material? (If you answer yes to both of these questions you should ask for your money back.)


RGV

slain4ever

yes, yes but I didn't buy the textbook coz i'm a cheap *** and there are plenty of places people are willing to share knowledge on a subject for free, like this forum.

and kurtz I don't know the names of what the processes are called, he just teaches them without naming them.

are any of you going to help or just tell me to pay attention in class?

slain4ever

sorry if I was a bit rude, it's just that these questions and the rest that i've already done are due in a few days

HallsofIvy

A bit rude? You have pretty much guarenteed that no one will want to help you.