# Need Help On Initial Value Problems

1. Nov 4, 2004

### vpathak

Hi, I have a Calculus test coming up and am very confused on how to start approching these types of problems (initial value problems) If possible can someone work these 2 different types of problems out and show some work so I know how to proceed with the rest of them? I don't think they are that hard, for some reason I'm just confused. Thanks

Problem 1: y' +ty = t, y(0) = 0

Problem 2: y' = y^2*sint, y(0) = 1

Thanks again for all those who help!

2. Nov 4, 2004

### Alem2000

I dont think anyone will help you on here unless you show what you did sorry but thats how it works

3. Nov 4, 2004

### vpathak

well im just lost in even how to attempt these types of problems, so yeah...i hope someone does

4. Nov 4, 2004

### Alem2000

They arnt that hard, read the book and try some examples. Then try it and if you dont get far post what you did and people will tell you what you need to fix.

5. Nov 5, 2004

### ReyChiquito

these are separable equations, your main goal must be put all the y's in one side and all the t's in the other and then integrate. For example, on 1

y'+ty=t ,y(0)=0 =>
y'=t-ty =>
y'=t(1-y) =>
y'/(1-y)=t => using y'=dy/dt

dy/(1-y)=t dt

then integrate both sides. Check any differential equations book. Look for separable equations.

6. Nov 5, 2004

### vpathak

thanks i think i got it.