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The differontial equatron (r J yrty da Cy Ja2+y - ) da Caun be nmade exacf...
3 attempts left Check my work Evaluate J. (2++y+8) + y2 + 8) da, where R is the circle of radius 4 centered at the origin. The answer is C R
6. Find all extrema of the functional J(y) = 1 + (y2 + 2y) da with boundary conditions y(0) = 0 and y(1) = 0, and subject to the constraint 1(x) = [ (12 + 4y) dx = 1.
Consider the equation 2xy (y dx + x dy) = (y dx - xdy) sin - Is the equation exact? If not, find an integrating factor, and solve the equation that is exact with the integrating factor
Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the form F(x,y) C is C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.) Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the...
1. For the initial value problem t'y +56'y = e-!, y(1) = 0, > 0 (a) (5 pts) Find an integrating factor. (b) (5 pts) Use the integrating factor to solve the initial value problem.
Can you solve these questions? Solve the following D.E. cy" = y' Apply the differential operator P(D) = D3 + D - 1 to the function f(0) = ef sin r.
test charge from radius R to radius r. Extra work J): Potential at r (r < R) is: 3. Two Equipotential surfaces are shown in the diagram below. The electric field magnitude in 3 different nei Indicate which of these magnitudes is largest, and which is smallest. s are indicated as Ea, Ea, and Ec EA Smallest field: Ans: Largest field: In a certain region of space, the electric potential is given as V(x, y, z)s Ary-8x2 + Cy, where...
True or False 15. If R is the disk {(x, y) 1r2+92 R, then JR f(x, y)dA 2T. 2) and f(x,y) 1 for every point (x, y) in 15. If R is the disk {(x, y) 1r2+92 R, then JR f(x, y)dA 2T. 2) and f(x,y) 1 for every point (x, y) in
Calculate the double integral ||(x + 3 y) dA where R is bounded by y = Vx and y = x
Find Sla 4x – 4y 52 + y dA, where R is the parallelogram enclosed by the lines 4x – 4y = 0, 4x – 4y = 9, 5x+y=1, 5x + y = 5 Preview Get help: Video Points nossible. 1