please answer the question in the picture 1. -/1 points ZILLDIFFEQMODAP10 4.8.001. My Note Proceed as...
Proceed as in this example to find a particular solution y(x) of the given diferential equation in the Integral formy.(x) = f* 3- / Gx, 0) G(x, t) (1) dt. y" + 25y = f(x) Y(X) LO Dres dt
- 3 points ZILLDIFFEQMODAP10 4.8.033. Proceed as in Example 6 of Section 4.8 to find a solution of the initial-value problem with the given piecewise-defined forcing function. y" + y = f(x), (O) = 1, Y() = -1, fo, x < 0 where x) = 13, OS XS 3 lo, x > 3 xco y OS XS 34 x > 3 Need Help? Read Talk to Tutor
11. 0/5 points Previous Answers ZillDiffeQ9 6.1.038. My Notes Ask Your Teach Proceed as in Example 4 in Section 6.1 and find a power series solution y = cry of the given linear first-order differential equation. (Give your answer in terms of Co-) (1 + x)y + y = 0
(1 point) In this exercise you will solve the initial value problem 1 +x2' (1) Let Ci and C2 be arbitrary constants. The general solution to the related homogeneous differential equation " - 4y+4y 0 is the function C2 NOTE: The order in which you enter the answers is important, that is, CJU) + Gg(x)ヂGg(x) + CN 2) The particular solution yo(x) to the differential equation y" +4ys of the form yo) -yi) u)x) and (x) = 2x (3) The...
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Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
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Write an equation for the parabola shown to the right First determine the direction of the opening of the parabola. The parabola opens up. Note that the vertex of the parabola is located at (0. - 5). Since the parabola opens up and its vertex is at (0.-5), the equation of the...
6 -1 points SCalcCC4 12.1.012 My Notes Evaluate the double integral by first identifying it as the volume of a solid. (3 ) dA, R { (r, y) |0 < x < 3,0 < y < 3} The value of integral is Need Help? Read It Talk to a Tutor
6 -1 points SCalcCC4 12.1.012 My Notes Evaluate the double integral by first identifying it as the volume of a solid. (3 ) dA, R { (r, y) |0
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4. [-/1 Points] DETAILS SCALCCC4 7.1.006. Consider the following differential equation. ry + y = 5 (a) Show that every member of the family of functions y = (51n(x) + C)/x is a solution of the differential equation. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Illustrate part (a) by graphing several members of the family of solutions on a common screen. (Do this on paper. Your instructor...
+-/1 points SCalcET8 15.6.013. My Notes Evaluate the triple integral. here E lies under the plane z 1+x+ y and above the region in the xy-plane bounded by the curves y Vx, y 0, and x 1 3xy dV, Need Help? Read It Talk to a Tutor Watch It Submit Answer Practice Another Version
2. -13 points ZillDiffEQModAp111.1.011. 0/6 Submissions Used My Notes Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate intervall of definition for the solution. 6y + y = 0; y = e-x/6 When y = e-x/6 y'a Thus, in terms of x, 6y' + y = 3. -12 points ZillDiffEQModAp111.2.001. 0/6 Submissions Used My Notes Ask Your Teacher In this problem, y = 1/(1+ce) is a one-parameter family of solutions of the...