Question related to a differential equation
For what values of k does the function y = cos(kt) satisfy the differential equation 1217"...
For what values of r does the function y = e^rx satisfy the following equation? (Enter your answers from smallest to largest.) y'' + 8y' + 12y = 0
For what value of k is the function t k an integrating factor for the differential equation? MODERN ENGINEERING MATHEMATICS, GLYN JAMES 5TH ED, CHP10.5 30 For what value of k is the function t an integrating factor for the differential equation dx (t cos xt)3 sinxtxtcosxt0? dt 30 For what value of k is the function t an integrating factor for the differential equation dx (t cos xt)3 sinxtxtcosxt0? dt
Answer all Please! Thanks 1. Confirming Solutions to Differential Equations: Verify that each function does in fact solve the given differential equation. If there are parameters in the function (A. b. k), give the range of values of those parameters for which that function is a solution. The prime indicates differentiation with respect od dr' (b) y" + 4y = 0; y = A sin(kx + φ). (c) y"-4s, + 4y = 0, y = Axe . (d) x2y', +...
23. What values for θ(0 2π) satisfy the equation? θ 2 sin θ cos θ + cos θ 0
Results for this submission Entered Answer Preview Result -k (y-a) -k(y - a) correct correct -kt a +(1-a) e correct 65 65 incorrect At least one of the answers above is NOT correct (1 point) As you know, when a course ends, students start to forget the material they have learned. One model (called the Ebbinghaus model) assumes that the rate at which a student forgets material is proportional to the difterence between the material currently remembered and some positive...
Show that the function y = cos (ln(x)] satisfies the differential equation 22 day dy +2 dx +y = 0. dc2
Consider the differential equation y(4) +9y" = (5x2 +1) cos 31. Set up the appropriate form of the particular solution yp, but do not determine the values of the coefficients.
With steps 5) Does the function f(xy) -x+ y satisfy the two dimensional Laplace's equation? Does the function g(x,y)-x2-y2 ? Sketch g(x,y) roughly. And then calculate the gradient of g(x,y) at points (x,y)- (0,1), (1,0), (0, -1) and (-1,0) and indicate by little arrows the directions in which these gradient vectors point.
Problem 1 (20 points) Consider the differential equation for the function y given by 4 cos(4y) 40e 2e) cos(8t)+5 eu 2t) sin(8t)/ - 12e - 0. 8 sin(4y) y a. (4/20) Just by reordering terms on the left hand side above, write the equation as Ny + M 0 for appropriate functions N, M. Then compute: aN(t, y) ayM(t, y) b. (8/20) Find an integrating factor If you keep an integrating constant, call it c (t) N and M M,...
In Problems 1 through 10, find a function y = f(x) satisfy. ing the given differential equation and the prescribed initial condition. 1.dy = 2x + 1;y(0) = 3 In Problems 1 through 10, find a function y = f(x) satisfy. ing the given differential equation and the prescribed initial condition. 1.dy = 2x + 1;y(0) = 3