Differential Equations questions and answers in June 2023

 . Consider the following nonhomogeneous system. X' = 4 3 IX 9 6 Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list. ) 1 = 3,7 Find an eigenvector for ...
 . (1 point) Find the solution to initial value problem dy - 18 dy + 8ly = 0, y(0) = 3, y (0) = 4 dt2 dt The solution is. (1 point) Find y as a function of t if 324y" + 684y' + 361y = 0, y(0) = ...
please help!. The motion of a mass-spring system with damping is governed by y' (t) + by (t) + 64y(t) =0: y(0) = 3, and y'(o) - o. Find the equation of motion and sketch its graph for b = 0, 12, 16, a...
 . Problem: Consider the heat boundary value problem e at Ox - ru, 0<x<L, t>0, Ox u(0, t) + a- Ox (0, t) = 0, (1 + a)u(L, t) + (L, t) = 0, u(x, 0) = g(x), Ou at (x, 0) = 0. a) Use separation...
An Individual Retirement Account (IRA) is a special bank / brokerage account that a person can use to save money for retirement. An individual can put up to $5,500 per year tax free and the money grow...
Partial differential equations: plz show me how to get the answer, thank you so much !   . 12. Write out the series solution to the boundary value problem u(1, 0) = 0, u(2,0) = h(0) for Laplace equa...
Partial differential equations: plz show me how to get the answer, thank you so much !   . 11. Solve the mixed boundary value problem for Laplace equation on the pie wedge 0 < 0 < </4,0 &lt...
can you solve this question showing steps, thank you  . Linear Transformations: the following ask you to work with the two defining properties of linear transformations. (a) Show that D, defined as D...
 . (1 point) (a) Find the general solution to y" + 3y' = 0. Give your answer as y =. .. . In your answer, use c1 and c2 to denote arbitrary constants and x the independent variable. Enter c, as ...
Problem 2: Consider the system of differential equations . a) Find the linearly independent solutions and   b) Construct the fundamental matrix .   c) Compute and .     d) Use your results (b) and...
Section 7.2 Reading Assignment: Exponential Change and Separable Differential Equations Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read th...
 . (1 point) A Bernoulli differential equation is one of the form dx dy + P(x)y = Q(x)y" (*) Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitutio...
Can you solve these questions showing steps, thank you . Set up the appropriate form of a particular solution yo, but do not determine the values of the coefficients. y" - 6y' + 10y = e3Xsin x ....
 . Advise Louisa of her prospects of success in an action against The Big Cheese Pty Ltd in the tort of negligence. Please discuss all elements of a negligence action and any defences that might appl...
can you help solving question 5 with solution steps, thanks. . 5. An object weighing 16 lb streches a spring 3 in. The object is attached to a viscous damper with a damping constant of 2 lb-s/ ft. If...