I have a Wronskian Question?
If the Wronskian W of f and g is t^2*e^t and if f(t)=t, find g(t).
I have tried setting up this problem:
tg'-t'g = t^2*e^t
tg'-g = t^2*e^t
Setting up the integrating factor, µ= e^∫-1 --> µ= e^-t
(e^-t)t*g' - (e^-t)*g = (e^-t)(t^2*e^t)
so preferably I...
The answer to the problem comes out to be
x= (c/a)y + [(ad-bc)/(a^2)]*ln|ay+b|+k; a≠0, ay+b≠0
Can you explain more about how you reorganized the equation to become
ay+b=[a(cy+d)+(bc-ad)]/c for c!=0
(ay+b)/(cy+d)=(ay+b)/d for c=0
what do you mean by c! and what do you mean by c?
Hi guys,
I was working on this problem regarding separable equations and could not solve it..
dy/dx = ay+b/cy+d
My work:
I reorganized the equation to become dy(cy+d/ay+b) = dx
integrating both sides, you get the integral of (cy+d/ay+b) and dx which is a constant k.
I'm pretty sure...