HELP! Differential Equations hell!

[Brian23]

I'm really struggling in this class. It seams like the professor is making it harder than it needs to be. I've been trying to solve this homework problem, but I can't. If anyone can help, I would apreciate it.

given:
g(t) and p(t) are functions.
g(t) != 0
u'(t) + p(t)*u(t) = g(t)

Determin if y'(t) + p(t)*y(t) = g(t) when y(t) = 2*u(t)

 

[TuxDave]

Originally posted by: Brian23
I'm really struggling in this class. It seams like the professor is making it harder than it needs to be. I've been trying to solve this homework problem, but I can't. If anyone can help, I would apreciate it.

given:
g(t) and p(t) are functions.
g(t) != 0
u'(t) + p(t)*u(t) = g(t)

Determin if y'(t) + p(t)*y(t) = g(t) when y(t) = 2*u(t)

uhh....ok if y(t) = 2*u(t)

then

y'(t)=2*u'(t) and substitute it in the equation

y'(t) + p(t)*y(t)... and you'll find out that it's not equal to g(t)... I think you're looking way to deep, this question is simple.

 

[HonkeyDonk]

Originally posted by: TuxDave

Originally posted by: Brian23
I'm really struggling in this class. It seams like the professor is making it harder than it needs to be. I've been trying to solve this homework problem, but I can't. If anyone can help, I would apreciate it.

given:
g(t) and p(t) are functions.
g(t) != 0
u'(t) + p(t)*u(t) = g(t)

Determin if y'(t) + p(t)*y(t) = g(t) when y(t) = 2*u(t)

uhh....ok if y(t) = 2*u(t)

then

y'(t)=2*u'(t) and substitute it in the equation

y'(t) + p(t)*y(t)... and you'll find out that it's not equal to g(t)... I think you're looking way to deep, this question is simple.

hmm...i just did some quick work on paper and I found that it does equal g(t) when y(t) = 2*u(t).

edit: actually, i reworked it, don't think they are equal given the circumstances.