Connder He cyctem y-la 1x Find a EIRsuc thet for alt)e* HCE) and xa lin y(t)=0...
Connder He cyctem y-la 1x Find a EIRsuc thet for alt)e* HCE) and xa lin y(t)=0 Connder He cyctem y-la 1x Find a EIRsuc thet for alt)e* HCE) and xa lin y(t)=0
Connder He cyctem y-la 1x Find a EIRsuc thet for alt)e* HCE) and xa lin y(t)=0 Connder He cyctem y-la 1x Find a EIRsuc thet for alt)e* HCE) and xa lin y(t)=0
Q1 (7 points) For k e R any constant, find the general solution to xa y" + (1 – k)x y' = 0, and use it to show that when k < 0, all solutions tend to a constant as x + 2O.
A 3) solve 0<-t<1 y'-y=f(t), ft)-(1 , 0, (use La t>=1 y(0)-0. ay-(2e-1)-(e11)u(t-1) b) y-(e-1)-(e1-1)u(t-1) c) y-(e1)-(2e1-1)u(t-1) d) y-(2e'-1)-(2e1-1)u(t-1)
1a.) Find the solution xa of the Bessel equation t2x'' + tx' + t2x = 0 such that xa(0) = aFor question 1, answer should be in the form xa(t) = aJ0(t).1b.) Find the solution xa of the Bessel equation t2x'' + tx' + (t2-1)x = 0 such that x'a(0) = a1c.) Find x(t) = Σk>=0 aktksuch that x'' = tx + 1 and x(0) = 0, x'(0) = 1
By hand, accurately sketch the following signals over (0 t<1): (a) xa(t) e (b) xb(t)sin(27 5t) (c) xe(t) esin (27 5t) B.3-1 1 1
X (t) = xd_ya y (t) = dy-xa y=- x=1 Find 2 x X ㅓ >
T Find the length of the curve e' cos(t) e' sin(t) for 0 < t < 2 y (Hint: You can simplify the integrand by expanding the argument inside the square root and applying the Pythagorean identity, sinº (0) + cos²O) = 1.)
Y" + alt) y'+ 6(H) + = 0 too 2 solutions V2 (t) = + Y₂(t) = + solve ylta(t) y't b (ty) = + 0 2020
Solve the initial value problem by using La Place: y 2 y-2u(t - 2n) y(0) 0, y(0)= el-2T