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