7: Problem 2 Previous Problem List Next 0 of the differential equation (1 point) Find the...
Problem List Next Problem Previous Problem (1 point) In this problem we consider an equation in differential form M dx + N dy = 0 (5х + 7у)dx - (7x + 3у)dy %3D0 Find М, If the problem is exact find a function F(x, y) whose differential, dF(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) = C, give implicit general solutions to the differential equation. If the equation is not exact,...
0 of the differential equation (1 point) Find the indicated coefficients of the power series solution about x = У' — (sin x)y У(0) %3D —9, У (0) 3 —3 =COS X x2+ у%3 —9 — 3х+ x4O(x5) 0 of the differential equation (1 point) Find the indicated coefficients of the power series solution about x = У' — (sin x)y У(0) %3D —9, У (0) 3 —3 =COS X x2+ у%3 —9 — 3х+ x4O(x5)
6: Problem 4 Previous Problem List Next (1 point) Consider the differential equation which has a regular singular point at x = O. The indicial equation for x = 0 is rt with roots (in increasing order) ri- Find the indicated terms of the following series solutions of the differential equation: (a) y = x,16+ and rE x+ The closed form of solution (a) is y 6: Problem 4 Previous Problem List Next (1 point) Consider the differential equation which...
Previous Problem List Next (1 point) if y = as is a solution to the differential equation đ -114 + y = 0, find the value of the constant k and the general solution to this equation. k= 30 y= A exp(5t)+B exp(5t) (Use constants A, B, etc., for any constants in your solution formula.) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score...
7: Problem 7 Previous Problem List Next (1 point) Solve the differential equation y" + 2/-3y-1+ 2 3 (1), y(0)-2, y (0)--2 using Laplace transforms. The solution is y(t)- and for 0 < t <3 for t > 3 7: Problem 7 Previous Problem List Next (1 point) Solve the differential equation y" + 2/-3y-1+ 2 3 (1), y(0)-2, y (0)--2 using Laplace transforms. The solution is y(t)- and for 0
Problem 11 Previous Problem Problem List Next Problem (1 point) Consider the differential equation 2x(x – 1)y" + 3(x - 1)y' - y = 0 which has a regular singular point at x = 0. The indicial equation for x = 0 is p2 + r+ = 0 with roots (in increasing order) rı = and r2 = Find the indicated terms of the following series solutions of the differential equation: (a) y = x" (3+ x+ x2+ x +...
Week 6: Problem 24 Previous Problem Problem List Next Problem (1 point) Find the centroid (x, у) of the region bounded by y = 7x2 + 72, and x = 5. y = 0, x = 0, 95/24 y95/24 Note: You can earn partial credit on this problem Week 6: Problem 24 Previous Problem Problem List Next Problem (1 point) Find the centroid (x, у) of the region bounded by y = 7x2 + 72, and x = 5. y...
webwork / 2924_tao_sp20 / set_7/14 Set 7: Problem 14 Previous Problem Problem List Next Problem (1 point) The function f(x) = 10x In(1 + x) is represented as a power series: 36) = Ecat Find the following coefficients in the power series. C2 = C4 = cs = C6 = Find the radius of convergence R of the series. R = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem...
(1 point) The differential equation y" - 2ay' – 2y = el (0) --2,5/(0) - 3 has a power series solution about == 0 of the form The first six coefficients are Note: You can earn part of credit on this problem Preview My Answers Submit Answers times. You have attempted this problem You have s attempts remaining
Find the indicated coefficients of the power series solution about x=0 of the differential equation. (x^2+1)y''-xy'+y=0, y(0)=3, y'(0)=-6 (1 point) Find the indicated coefficients of the power series solution about 0 of the differential equation (x2 1)y ry y 0, (0) 3, y' (0) -6 r2 24+ r(9) (1 point) Find the indicated coefficients of the power series solution about 0 of the differential equation (x2 1)y ry y 0, (0) 3, y' (0) -6 r2 24+ r(9)