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Problem #8: Solve the following initial value problem. y'" – 7y" - 5y' + 75y =...
Problem #2: Let y(t) be the solution to the following initial value problem 6, y'(0)3 y"7y...
Problem #2: Let y(t) be the solution to the following initial value problem 6, y'(0)3 y"7y Find Y(s), the Laplace transform ofy() Enter your answer as a symbolic function of s, as in these examples Problem #2: Submit Problem #2 for Grading Just Save Attempt #3 Problem #2 Attempt # 2 Attempt #5 Attempt#1 Attempt #4 Your Answer: Your Mark
Problem #7: Solve the following boundary value problem. y" - 12y + 36y 0, y) =...
Problem #7: Solve the following boundary value problem. y" - 12y + 36y 0, y) = 9, y(1) = 10 Problem #7: Enter your answer as a symbolic function of x, as in these examples Do not include 'y = 'in your answer. Just Save Submit Problem #7 for Grading Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 Problem #7 Your Answer: Your Mark: Problem #8: Solve the following initial value problem. y'"' – 9y" + 24y' –...
Problem #4: Use separation of variables to find a product solution to the following partial differential...
Problem #4: Use separation of variables to find a product solution to the following partial differential equation, Ou (5y + 8) ou си + (3x + 6) oy = 0 that also satisfies the conditions u(0,0) = 9 and ux(0,0) = 8. Problem #4: Enter your answer as a symbolic 9*e^(1/9)*(3*x^2/2+6*X-5*y^2/2-function of x,y, as in these examples + 6x - 9e1/9(3 + 52 - 8y) Just Save Submit Problem #4 for Grading Problem #4 Attempt #1 Attempt #2 Attempt #3...
Problem #2: Let y(x) be the solution to the following initial value problem. x4 y' +...
Problem #2: Let y(x) be the solution to the following initial value problem. x4 y' + 5x> y = Inça), x>0, y(1) = 5. Find y(e). Problem #2: O Problem #2: Enter your answer symbolically, as in these examples Just Save Submit Problem #2 for Grading Problem #2 | Attempt #1 | Attempt #2 | Attempt #3 Your Answer: Your Mark:
Problem #3: The velocity of a particle in a gas is a random variable X with...
Problem #3: The velocity of a particle in a gas is a random variable X with probability distribution fx (x) = 343 z2 e-7x x>0. The kinetic energy of the particle is Y = 2 mx2. Suppose that the mass of the particle is 16 yg. Find the probability distribution of Y. (Do not convert any units.) Enter your answer as a symbolic 343/16*sqrt(2*y/16)*(e^(-7*sqrt(2*) function of y, as in these examples Problem #3: 343 V (e-71 (20)/16) + e7V (2/16))...
Problem #16; Use the Laplace transform to solve the following initial value problem y2y35 t-4), y(0)...
Problem #16; Use the Laplace transform to solve the following initial value problem y2y35 t-4), y(0) = 0. y'(0) 0 The solution is of the form Ug(t] h(t). (a) Enter the function g(f) into the answer box below. (b) Enter the function h(t) into the answer box below Enter your answer as a symbolic function of t. as in these Problem #16(a): examples Enter your answer as a symbolic function of t. as in these examples Problem 16(b): Submit Problem...
Problem #2: Evaluate the following, 1000 f(x2 + 8) dx, and write your answer in the...
Problem #2: Evaluate the following, 1000 f(x2 + 8) dx, and write your answer in the form g(x) e-10x + C. Enter the function g(x) into the answer box below. Enter your answer as a -100*(x^2)-20*x+790 symbolic function of X, as in these examples -100x2 – 20x + 790 Problem #2: Just Save Submit Problem #2 for Grading Attempt #3 Attempt #4 Attempt #5 Problem #2 Attempt #1 Attempt #2 Your Answer: -(100x² + 20x + 810) -100.x2 - 20x...
Problem #8: Consider the following integral equation, so called because the unknown dependent variable y appears...
Problem #8: Consider the following integral equation, so called because the unknown dependent variable y appears within an integral sin[4(t- w) y(w) dw = 82 This equation is defined for t z 0. (a) Use convolution and Laplace transforms to find the Laplace transform of the solution (b) Obtain the solution y(t) Enter your answer as a symbolic function of s, as in these examples Problem #8(a) Enter your answer as a symbolic function of t, as in these examples...
Problem #8: Given the probability density function, a f(x) = { 36* s a xe =...
Problem #8: Given the probability density function, a f(x) = { 36* s a xe = x/6 x > 0 otherwise What is the probability that our random variable X has a value less than 8? (Round your answer to 4 decimal places.) Problem #8: 0.3770 Round your answer to 4 decimal places. Just Save Your work has been saved! (Back to Admin Page). Submit Problem #8 for Grading Attempt #2 Attempt #3 Attempt #4 Attempt #5 Problem #8 Your...
Please answer part a and b :) Which of the following vector fields are conservative? (i) F(x, y) = (9y8 +3) i + (8x8y&#...
Please answer part a and b :)
Which of the following vector fields are conservative? (i) F(x, y) = (9y8 +3) i + (8x8y' +7) j (ii) F(x,y) = (8ye8x + cos 3ji + (e8x + 3x sin 3jj (iii) F(x,y)-7y2e7xyİ + (7 +xy) e7xyj (A) all of them (B) (iii) only (C) (i) and (ii) only (D) (i) and (iii) only (E) none of them (F) (ii) and (iii) only (G) (ii) only (H) (i) only st Save Submit...
Problem #2: Let y(t) be the solution to the following initial value problem 6, y'(0)3 y"7y Find Y(s), the Laplace transform ofy() Enter your answer as a symbolic function of s, as in these examples Problem #2: Submit Problem #2 for Grading Just Save Attempt #3 Problem #2 Attempt # 2 Attempt #5 Attempt#1 Attempt #4 Your Answer: Your Mark
Problem #7: Solve the following boundary value problem. y" - 12y + 36y 0, y) = 9, y(1) = 10 Problem #7: Enter your answer as a symbolic function of x, as in these examples Do not include 'y = 'in your answer. Just Save Submit Problem #7 for Grading Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 Problem #7 Your Answer: Your Mark: Problem #8: Solve the following initial value problem. y'"' – 9y" + 24y' –...
Problem #4: Use separation of variables to find a product solution to the following partial differential equation, Ou (5y + 8) ou си + (3x + 6) oy = 0 that also satisfies the conditions u(0,0) = 9 and ux(0,0) = 8. Problem #4: Enter your answer as a symbolic 9*e^(1/9)*(3*x^2/2+6*X-5*y^2/2-function of x,y, as in these examples + 6x - 9e1/9(3 + 52 - 8y) Just Save Submit Problem #4 for Grading Problem #4 Attempt #1 Attempt #2 Attempt #3...
Problem #2: Let y(x) be the solution to the following initial value problem. x4 y' + 5x> y = Inça), x>0, y(1) = 5. Find y(e). Problem #2: O Problem #2: Enter your answer symbolically, as in these examples Just Save Submit Problem #2 for Grading Problem #2 | Attempt #1 | Attempt #2 | Attempt #3 Your Answer: Your Mark:
Problem #3: The velocity of a particle in a gas is a random variable X with probability distribution fx (x) = 343 z2 e-7x x>0. The kinetic energy of the particle is Y = 2 mx2. Suppose that the mass of the particle is 16 yg. Find the probability distribution of Y. (Do not convert any units.) Enter your answer as a symbolic 343/16*sqrt(2*y/16)*(e^(-7*sqrt(2*) function of y, as in these examples Problem #3: 343 V (e-71 (20)/16) + e7V (2/16))...
Problem #16; Use the Laplace transform to solve the following initial value problem y2y35 t-4), y(0) = 0. y'(0) 0 The solution is of the form Ug(t] h(t). (a) Enter the function g(f) into the answer box below. (b) Enter the function h(t) into the answer box below Enter your answer as a symbolic function of t. as in these Problem #16(a): examples Enter your answer as a symbolic function of t. as in these examples Problem 16(b): Submit Problem...
Problem #2: Evaluate the following, 1000 f(x2 + 8) dx, and write your answer in the form g(x) e-10x + C. Enter the function g(x) into the answer box below. Enter your answer as a -100*(x^2)-20*x+790 symbolic function of X, as in these examples -100x2 – 20x + 790 Problem #2: Just Save Submit Problem #2 for Grading Attempt #3 Attempt #4 Attempt #5 Problem #2 Attempt #1 Attempt #2 Your Answer: -(100x² + 20x + 810) -100.x2 - 20x...
Problem #8: Consider the following integral equation, so called because the unknown dependent variable y appears within an integral sin[4(t- w) y(w) dw = 82 This equation is defined for t z 0. (a) Use convolution and Laplace transforms to find the Laplace transform of the solution (b) Obtain the solution y(t) Enter your answer as a symbolic function of s, as in these examples Problem #8(a) Enter your answer as a symbolic function of t, as in these examples...
Problem #8: Given the probability density function, a f(x) = { 36* s a xe = x/6 x > 0 otherwise What is the probability that our random variable X has a value less than 8? (Round your answer to 4 decimal places.) Problem #8: 0.3770 Round your answer to 4 decimal places. Just Save Your work has been saved! (Back to Admin Page). Submit Problem #8 for Grading Attempt #2 Attempt #3 Attempt #4 Attempt #5 Problem #8 Your...
Please answer part a and b :)
Which of the following vector fields are conservative? (i) F(x, y) = (9y8 +3) i + (8x8y' +7) j (ii) F(x,y) = (8ye8x + cos 3ji + (e8x + 3x sin 3jj (iii) F(x,y)-7y2e7xyİ + (7 +xy) e7xyj (A) all of them (B) (iii) only (C) (i) and (ii) only (D) (i) and (iii) only (E) none of them (F) (ii) and (iii) only (G) (ii) only (H) (i) only st Save Submit...
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