Really Stuck With Some Calculus...

demon8991

demon8991

demon8991

Soldato
Joined
7 Jan 2003
Posts
4,458
Location
Gold Coast, Australia
Hello been working through 30 questions in prepartion for an exam. But theres 3 i cant do and they are driving me mad.

Would any of you be able to help?

Use an Integrating Factor to solve the following equations for y:

dy/dx + y/tanx=2 with the condition y(pi/4)=sqrt2 - 3



Solve the following homogeneous equations for y:

dy/dx = y/x + 2(x/y) where y(1) = sqrt2



dy/dx = y/x + (y/x)^4 where y(1) = 1


Thanks in advance guys.
 
Right ok thats what i got earlier but couldnt do the next step,jus to check this is the right equation yer?

e^(integral (1/tanx))dy/dx + (y/tanx)e^(integral (1/tanx)) = 2e^(integral (1/tanx))


Coz i cant see what to do from there.
 
Last edited:
Yer this is the same trap as i got in earlier i get y = 2!

But the question says 'with condition y(pi/4) = sqrt 2 - 3
 
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