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Given ypi 3e2c and Yp2 = 22 + 3.2 are, respectively, two particular solutions of y"...
Differential Equations, Super Position Theorem Given ypi 3e2+ and yp2 = 3 = 12 + 3x...
Differential Equations, Super Position Theorem
Given ypi 3e2+ and yp2 = 3 = 12 + 3x are, respectively, two particular solutions of y" -6y + 5y -9e27 and y” -6y + 5y = 5x2 + 3x – 16 Find a particular solution of y" -6y + 5y = -5x2 – 3x + 16 - 18e2x (Hint: Super position theorem in chapter 4.) Yp = x2 + 3x 6e22 Yp 2x2 + 6x + 2x None of them Ур = -22...
Need help with this DE Problem Given Ypl 3e21 and yp2 = x+ + 3x are,...
Need help with this DE Problem
Given Ypl 3e21 and yp2 = x+ + 3x are, respectively, two particular solutions of y” -6y + 5y = -9e22 and y” -6y + 5y = 5.x2 + 3x – 16 Find a particular solution of y" -6y + 5y = -5x2 – 3x + 16 - 18e2x
Two linearly independent solutions of the differential equation y" - 5y' + 6y = 0 are...
Two linearly independent solutions of the differential equation y" - 5y' + 6y = 0 are Select the correct answer. a. Y1 = 62, y2 = 232 b. Y1 = 0 -6x, y2 = e** c. Y1 = e-Gx, y2 = et d. Y1 = 0-2, y2 = 2-3x e. Yi = e6x, y2 = e-*
Question 1 5 pts Determine the Laplace transform of the given function f(t) = teu cos...
Question 1 5 pts Determine the Laplace transform of the given function f(t) = teu cos 4t OF(s) = (8-4)2-16 [18-4)2+16) None of them OF(8) (8-4)2-16 [(-4)2+4)* (8-4)2-4 [(8-4)2 +16] OF(s) Question 2 5 pts The general solution for the differential equation with x as the independent variable to y(4) - y" – 9y' +11y +6y=is_(Hint: y(x) = e(1- 2) is a solution.] 32 + Cle2 Oy(x) = cze(1+x2)x + cze(1-12x + c3 e3x + c4e-2x y(x) = cjell-v2)x +...
1) Find two power series solutions of the differential equation (x² + 1)y" – xy' +...
1) Find two power series solutions of the differential equation (x² + 1)y" – xy' + y = 0 about the ordinary point x = 0. Hint: Check Examples 5 and 6 in 6.2 Example 6 Power Series Solution Solve (x + 1)," + xy - y = 0. Solution As we have already seen the given differential equation has singular points at = = ti, and so a power series solution centered at o will converge at least for...
1. Consumer’s utility function is: U (X,Y) = 10X + Y. Consumer’s income M is 40...
1. Consumer’s utility function is: U (X,Y) = 10X + Y. Consumer’s income M is 40 euros, the price per unit of good X (i.e. Px ) is 5 euros and the price per unit of good Y (i.e. Py) is 1 euro. a) What is the marginal utility of good X (MUx) for the consumer? ( Answer: MUx = 10) b) What is the marginal utility of good Y (MUy) for the consumer? ( Answer: MUy = 1) c)...
Differential Equations, Super Position Theorem
Given ypi 3e2+ and yp2 = 3 = 12 + 3x are, respectively, two particular solutions of y" -6y + 5y -9e27 and y” -6y + 5y = 5x2 + 3x – 16 Find a particular solution of y" -6y + 5y = -5x2 – 3x + 16 - 18e2x (Hint: Super position theorem in chapter 4.) Yp = x2 + 3x 6e22 Yp 2x2 + 6x + 2x None of them Ур = -22...
Need help with this DE Problem
Given Ypl 3e21 and yp2 = x+ + 3x are, respectively, two particular solutions of y” -6y + 5y = -9e22 and y” -6y + 5y = 5.x2 + 3x – 16 Find a particular solution of y" -6y + 5y = -5x2 – 3x + 16 - 18e2x
Two linearly independent solutions of the differential equation y" - 5y' + 6y = 0 are Select the correct answer. a. Y1 = 62, y2 = 232 b. Y1 = 0 -6x, y2 = e** c. Y1 = e-Gx, y2 = et d. Y1 = 0-2, y2 = 2-3x e. Yi = e6x, y2 = e-*
Question 1 5 pts Determine the Laplace transform of the given function f(t) = teu cos 4t OF(s) = (8-4)2-16 [18-4)2+16) None of them OF(8) (8-4)2-16 [(-4)2+4)* (8-4)2-4 [(8-4)2 +16] OF(s) Question 2 5 pts The general solution for the differential equation with x as the independent variable to y(4) - y" – 9y' +11y +6y=is_(Hint: y(x) = e(1- 2) is a solution.] 32 + Cle2 Oy(x) = cze(1+x2)x + cze(1-12x + c3 e3x + c4e-2x y(x) = cjell-v2)x +...
1) Find two power series solutions of the differential equation (x² + 1)y" – xy' + y = 0 about the ordinary point x = 0. Hint: Check Examples 5 and 6 in 6.2 Example 6 Power Series Solution Solve (x + 1)," + xy - y = 0. Solution As we have already seen the given differential equation has singular points at = = ti, and so a power series solution centered at o will converge at least for...
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