Hi everyone!
I would like to ask you for help with one of the tasks from my assignment. The rest of the assignment is done including some simple integration but I struggle with this one:
Task
"The total load capacity for a circular hydrostatic bearing is given as
##W=\int_0^{R_o} p_r(2πr dr) +...
Task 7
Show that y=(1/4)tsin2t satisfies equation
d2y/dt2+4y=cos2t
Find the general solution and deduce the solution which satisfies y(0)=0 and y'(0)=0. What happens as t increases?
Solution
In the end I stay with:
y=Acos2t+Bsin2t+(1/4)tsin2t...
Right I come to the point where:
Ve(1/(CR))t=Ee(1/(CR))t+c /:e(1/(CR))t
V=E+c/(e(1/(CR))t)
if I apply t=0 when V=0
0=E+c
c=-E
and Part. Sol.
V=E+[-E/e(1/(CR))t]
Where am I going wrong?
I'm not sure if it's right but that's how I checked it:
θ=(At+B)e-t+4
dθ/dt=(At+B)(-e-t)+Ae-t
d2θ/dt2=(At+B)(e-t)+A(-e-t)-Ae-t
t=0
θ=0
dθ/dt=0
A=-4
B=-4
[d2θ/dt2=(At+B)(e-t)+A(-e-t)-Ae-t]+2[0]+[(At+B)e-t+4]=4
-4+4+4-4+4=4
Hi!
I would like to ask anyone with some spare time to check my assignment questions. Last time I was asked to post one task at a time so I will.
Thank you in advance for your time.
Task 6:
In a galvanometer the deflection θ satisfies the diffrential equation:
d2θ/dt2+2(dθ/dt)+θ=4...
Hi!
I would like to ask anyone with some spare time to check my assignment questions. Last time I was asked to post one task at a time so I will.
Thank you in advance for your time.
Task 5:
Find the particular solution of the following differential equations:
a) 12(d2y/dx2)-3y=0...