# Math Help - seperable equation

1. ## seperable equation

okay i really should know how to do this but i've been out of learning for 3 years. Okay so i got a question :

a)seperate the variable in this differential equation ready for intergration, but do not solve the equation yet:

[tex]\frac{dy}{dx} = x^2y[\math]

b) Now solve the equation to find the General solution.

c)If y = 100 when x = 0 obtain the particular solution.

okay i know sorta the first answer but have no clue about the 2nd and 3rd parts. What is the general and particular solution and how do i get them?.

Thanks guys

a)seperate the variable in this differential equation ready for intergration, but do not solve the equation yet:
$\frac{dy}{dx} = x^2y$

$\frac{dy}{y} = x^2 dx$

Ringing any bells?

Note: Alarm #1 - If you REALLY have no clue, PLEASE go talk with your academic advisor in order to determine what class you should be in. "No clue" NEVER should be the case.