(1 point) Find y as a function of x if (0)- 3, y' (0)-8, y"00. y(x)...
(1 point) Find yy as a function of xx ify′′′+64y′=0,y‴+64y′=0,y(0)=−1, y′(0)=−16, y′′(0)=−192.y(0)=−1, y′(0)=−16, y″(0)=−192.y(x)=
(1 point) Find y as a function of x if y(x) = -2sin(2x)+7cos(2x)+8
8-9r 7-8x (1 point) Find the inverse function to y = (x) = . x=f-1(y) = help (formulas)
00 (1 point) Represent the function 3 (1 - 2x) as a power series f(x) = { n=0 3 C1 = 9 C2 = 300 C3 = 3000 C4 = 30000 Find the radius of convergence R =
(1 point) Find y as a function of x if y" – 7y" + 10y' = 12et, y(0) = 10, y(0) = 29, y' (0) = 10. y(x) = (21/2)+(41/2)^(2x)-3e^(5x)+3e^(x) 000 (1 point) Find a particular solution to y" + 36y = –24 sin(6t). yp = 16-3e^(-3t)-8cos(3t)
1. Verify that fxr (x,y) -2e-x-y 0 < x < 00, x < y < is joint probability density function 2. Compute the probability that X < 1.and Y < 2.
(1 point) Find the function satisfying the differential equation 6er and y(0) = 4 (1 point) Solve the following initial value problem: dy +(0.9) y = 3t with y(0) = 8. (Find y as a function of t.) y =
(1 point) Find the indicated coefficients of the power series solution about x-0 of the differential equation (x2-x+1y"-y-3y = 0, y(0) = 0, y(o) =-8 x2+ 4 (1 point) Find the indicated coefficients of the power series solution about x-0 of the differential equation (x2-x+1y"-y-3y = 0, y(0) = 0, y(o) =-8 x2+ 4
E = "Expected Value" V = "Variance" 0 < x < 00, x < y < oo IS joint probability density function a) Compute the probability that X < 1 and Y < 2. b) Find E(X) c) Find E(Y d) Find V(X) e) Find V(Y)
(1 point) Find y as a function of x if y(4) – 10y" + 254" = -392e-27, = 16. y(0) = 4, y(0) = 24, y" (O) = 17, y" (0) y(x) =