5. Try again < Previous You have answered 0 out of 2 parts correctly. Consider the...
5. Try again < Previous You have answered 1 out of 3 parts correctly. Consider the differential equation: y" +625y = sec (25x). a. Find the general solution to the corresponding homogeneous equation. In your answer, use ci and cy to denote arbitrary constants. Enter cı as c1 and ca as c2. Ye = cl cos(25x) + c2 sin (25x) b. Apply variation of parameters to find a particular solution. Yp = 625 In ( cos(25x)) cos(25x) + mars -x...
You have answered 0 out of 2 parts correctly. Consider the intial value problem: 644" + 80y + 25y = 0, y(0) = a < 0, y(0) = 5. a. Find the solution in terms of a. Give your answer as y=... . Use x as the independent variable. Answer: _ 5x 8 8 y=cle +62xe b. Find the critical value of a that separate solutions that become positive from those that are always negative. critical value of a =
(graded) Section 7.7: Fundamental Matrices ntial Try again pring You have answered 1 out of 3 parts correctly. Consider the system of equations given by: x'= a. Find a fundamental matrix for the system. eor X(t) = b. Find the matrix exponential, y(t) = M, of the system. (t)- c. Solve the initial value problem with a(0) using the matrix exponential found in Part b. (t)
4. X Try again < Previous Next > Your answer is incorrect. Solve the intial value problem: 4y" – 12y' + 9y = 0, y(-2) = -2, y(2) = 3. Give your answer as y=... . Use t as the independent variable. 3t 2-3 Answer: 1 y= 3(1+2) +e®(31–8))
(graded) Section 3.6: Variation of Parameters ITEMS SUMMARY Try again You have answered 1 out of 2 parts correctly. Consider the differential equation: 9ty' - 2t(t +9)y +2(t+9) y = -26, t>0. You can verify that yı = 3t and y2 = 2texp(2t/9) satisfy the corresponding homogeneous equation. a. Compute the Wronskian W between yı and 32- W(t) = b. Apply variation of parameters to find a particular solution. Bre,+2te (*),+22
please help with entire question 7(0) = -5. Consider the initial value problem 47" + 28y' +49-0, (0) - 1, (a) Solve the initial value problem. X(t) Plot its solution for osts 5. (A computer algebra system is recommended.) (b) Determine where the solution has the value zero. (c) Determine the coordinates (to, Yo) of the minimum point. (to yo)-( (d) Change the second initial condition to y(0) -b and find the solution as a function of b. Xt) Find...
You have answered 0 out of 2 parts correctly. You have 20 attempts remaining. A particle moves with speed 0.7c along the x" axis of frame S", which moves with speed 0.7c in the positive x' direction relative to frame S'. Frame S' moves with speed 0.7c in the positive x direction relative to frame S. a) Find the speed of the particle relative to frame S. 0.14 b) Find the speed of the particle relative to frame S. .14
Consider the intial value problem: 81y" + 72y' + 16y= 0, y(0) = a > 0, y'(0) = -1. a. Find the solution in terms of a. Give your answer as y=... . Use x as the independent variable. Answer: b. Find the critical value of a that separate solutions that become negative from those that are always positive. critical value of a =
Lesson 5: Compound Inequalities Homework Score: 1.5/20 7/10 answered Question 5 < Score on last try: 0.25 of 3 pts. See Details for more. > Next question Try a similar question You can retry this question below Simplify the inequality. Graph it, write it in interval notation, and then inequality notation. Write y answer in interval notation. 5x + 5 < 10 or 3x - 30 > 0 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5...
6. Consider the intial value problem: 494"' + 42y + 9y = 0, y(0) = a > 0, y'(0) = -1. a. Find the solution in terms of a. Give your answer as y ... . Use x as the independent variable. Answer: b. Find the critical value of a that separate solutions that become negative from those that are always positive. critical value of a =