Find the basis function of the differential equation using Frobenius method. b. 2у"+ (1— 2г)y+ (ӕ- 1)у %3D0 c. ()y"(4x 2)y' +2y 0 b. 2у"+ (1— 2г)y+ (ӕ- 1)у %3D0 c. ()y"(4x 2)y' +2y 0
P: x+2y 10 Р2: -х-2у +z-1 (a) Do they intersect? (b) If so, find the equation of the intersection
Solve the differential equation by variation of parameters 1 x2y" + x y'- y=; х
LinearAlgebra02: Problem 3 Previous Problem List Next (1 point) Write a vector equation х+ that is equivalent to the system of equations: Тx — бу + 7z 6, 4х + бу + 4z -2, Зх + 5у — 6z -3.
7: Problem 2 Previous Problem List Next 0 of the differential equation (1 point) Find the indicated coefficients of the power series solution about x (22 — х + 1)у" — у -Ту%3D0, y(0)= 0, y (0) -5 у%3 -5х+ Note: You can earn partial credit on this problem. 7: Problem 2 Previous Problem List Next 0 of the differential equation (1 point) Find the indicated coefficients of the power series solution about x (22 — х + 1)у" —...
Given a second order linear homogeneous differential equation а2(х)у" + а (х)У + аo(х)у — 0 we know that a fundamental set for this ODE consists of a pair linearly independent solutions yı, V2. But there are times when only one function, call it y, is available and we would like to find a second linearly independent solution. We can find y2 using the method of reduction of order. First, under the necessary assumption the a2(x) F 0 we rewrite...
Solve the equation for x, where x is restricted to the given interval. х y = 5cota, for x in (0,41) X= (Use integers or fractions for any numbers in the expression.)
Solve the equation for x, where x is restricted to the given interval. х y=5cscā, for x in Зл 2 ,0) U (0, 2010 ] 310 2 X (Use integers or fractions for any numbers in the expression.)
Solve the differential equation. 7) dy Y-(In x5 7) dx х Solve the initial value problem. 8) e dy + y = cos e; e > 0, y(n) = 1 de 8) Solve the problem. 9) A tank initially contains 120 gal of brine in which 50 lb of salt are dissolved. A brine containing 1 lb/gal of salt runs into the tank at the rate of 10 gal/min. The mixture is kept uniform by stirring and flows out of...
Show work please (1 point) Use Laplace transforms to solve the integral equation y(t) – v yết – U) do = 4. The first step is to apply the Laplace transform and solve for Y(s) = L(y(t)) Y(s) = Next apply the inverse Laplace transform to obtain y(t) y(t) =