
Please help me with this questions, 1a) & 1b).
Show all steps, thank you!


Please help me with this questions, 1a) & 1b). Show all steps, thank you! ду 1....
i need help with all parts. i will rate.
thank you very much.
Suppose u=f x+y ху is a differentiable function. Which equation must be true? ди ди дхду = 0 од? д?u дх2 ду? + = 0 х2. ди ди - у. дх ду = 0 ди y- дх ди Х- ду = 0 O None of the above Suppose the position vector is given by F(t) = = <t, t², 2) Then at time t = 1, the...
4. Consider the boundary value problem defined by the partial differential equation д?и д?и = 0, ду? y > 0, да? with boundary conditions u(0, y) = u(T,y) = 0, u(x, 0) = 1 and limy-v00 |u(x, y)|< 0o. (a) Use separation of variables to find the eigenvalues and general series solution in terms of the normal modes. (b) Impose the inhomogeneous boundary condition u(x,0) = 1 to find the constants in the general series solution and hence the solution...
Please show all steps and give
explanations
4. a. Solve the system и %3D 2х — Зу, v = -x + y for x and y in terms of u and v. Then find the value of the Jacobian d(x, y)/ә(и, v). 2х — Зу, v = -x + y of the parallelogram R in the xy-plane with -3, x 0, y x, and y x + 1. Sketch b. Find the image under the transformation boundaries x = the...
please help me solve all the question. please. thank
you.
Question 3. Separation of variables. Consider Laplace's Equation in two dimensions:-+-- (a) Write φ(z y) F(x)G(y) and use separation of variables to get ordinary differential equa- tions for F and CG (b) Consider the rectangular region ((r,y) E R:0 conditions on Φ < a, 0 y b with three boundary 0(x, 0) = 0, D(x, b) = 0, (0,y) = 0 Obtain conditions on F and G on those boundaries...
Please help me solve these 2 questions with steps.
Thank you.
17. Sketch the graph of the following tangent and secant functions. a.y=tan(3x - 1/2) b.y = 3 sec(2x - 1/2) 18. trig and inverse trig Braph of region of y = sin from xto x=t, observe this is one to one and thus has an verse. Then use the principle of reflection about vax to find the graph of this inverse. b. Repeat the same for y = cos...
fluid mechanics
just part 3 and 4
show all steps please
These are typical questions to answer when examining difficult velocity and acceleration field questions. A three-dimensional velocity field is given by u = x?v=-3xy, and w = 3x + 2 y. Determine the acceleration vector. (a) Are all three components of the velocity field included in this problem? yes (b) In what dimensions can this velocity change? In other words, what independent variables are given in the velocity field?...
please do all of the sub questions in #6. Thank you so
much!
6. Find and sketch the steady-state solution of 2²u - 1 du 0<x<a, 0<t dx² - kat together with boundary conditions = 0, u(a, t) = To ди - 10, bi u(0, t) – (0, 1) = Po, aje (, 1) = 0 6. u(0, 1) – (0, 1) = To, uſa, t) + a, 6) = 1;. constant
Can you please help me solve this question using clear detailed
steps indicating the part number beside every
answer
Note: i will be giving a thumbs up to the best answer
:)
thank you!
If the series yx)is a solution of the differential equation ly" - 2x2y + 2y 0, then a+2 Cn,n- 1,2, A general solution of the same equation can be written as y(x)-Coyi(x)+cy2(x), where Calculate a2 a4 b3
If the series yx)is a solution of the differential...
1. (10 points, part I) Consider the following initial boundary value problem lU (la) (1b) (1c) 0L, t> 0 3 cos ( a(x, 0) (a) Classify the partial differential equation (1a) (b) What do the equations (la)-(1c) model? (Hint: Give an interpretation for the PDE, boundary conditions and intial condition.) c) Use the method of separation of variables to separate the above problem into two sub- problems (one that depends on space and the other only on time) (d) What...
Trigonometric Substitution
Please help me and show work, thank you.
If o* tan* () sec(i)dr = 1 express the value of tan (2) sec(1) dr = 1 Hint: Use integration of parts Ju du = u.v-/v.du u=tan(1) du=5 tan" () sec (1) resulting in and thus du =tan(I) sec(x)do v = sec()