(adsbygoogle = window.adsbygoogle || []).push({}); Differential equation problems....

Hey everyone,

Having some problems with these differential equations. If someone could point me in the right direction I would be really grateful.

1) dy/dx=(5x+12y)/3x with initial conditions y(1)=5.

I know this is a seperable equation but I'm not sure of the correct algebra to seperate them. Do I make it 5x/3x +12y/3x and then work from there??

2) dx/dt+3x=cos(2t) x(0)=-1

I know this one is a first order linear differential equation so it must be in the form dx/dt+p(x)y=q(x) and then you take e^(integral)p(x) and so on. I'm not sure what to do since there is no p(x) (or is it just 3??? integral being 3x). I tried that but I have trouble with the integration by parts that results.

If anyone could give me some advice or point me in the right direction that would be great.

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Differential equation problems

**Physics Forums | Science Articles, Homework Help, Discussion**