Problem 2. (10 points) Let y = V6 – x. Find the differential dy when x...
Problem 8. (10 points) Let y = V5 - x Find the differential dy when x = 1 and dx = 0.1 Find the differential dy when x = 1 and dx = 0.03 Note: You can earn partial credit on this problem.
Let y=3x^2. Find the change in y, Δy when x=4x and Δx=0.2 Find the differential dy when x=4x and dx=0.2
Let y=5x2+7x+3 Find the differential dy when x=2 and dx=0.4 Find the differential dy when x=2 and dx=0.8
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0 4. (a Let (sin( x cos( ) dr...
Problem 2. S x' = 5x – 4y (8 points) Find the solution to the linear system of differential equations I y' = 2x – y satisfying the initial conditions x(0) = 3 and y(0) = 2. e(t) = g(t) = Note: You can earn partial credit on this problem. preview answers
7: Problem 2 Previous Problem List Next 0 of the differential equation (1 point) Find the indicated coefficients of the power series solution about x (22 — х + 1)у" — у -Ту%3D0, y(0)= 0, y (0) -5 у%3 -5х+ Note: You can earn partial credit on this problem. 7: Problem 2 Previous Problem List Next 0 of the differential equation (1 point) Find the indicated coefficients of the power series solution about x (22 — х + 1)у" —...
Problem 7. (6 points) Let f(x) = 5 sin(x) 3 + cos(x) Find the following: 1. f'(x)= 2. f'(5) = Note: You can earn partial credit on this problem.
01 points Previous Answers OSCALC14.2.068. My Note Find the differential of the function. y ax+x² - 7x + 3 dy - 36x + 2x - 7 Additional Materials 19. - 2 points OSCALC1 4.2.072. My Notes Find the differential. y-Bx2-x+ 9 dy Evaluate for the given x and dx. X-7, dx = 0.1 Additional Materials Book
Consider the differential equation dy/dx = (y-1)/x. (a) On the axes provided, sketch a slope field for the given differential equation at the nine points indicated. (b) Let y = f (x) be the particular solution to the given differential equation with the initial condition f (3) = 2. Write an equation for the line tangent to the graph of y= f (x) at x = 3. Use the equation to approximate the value of f (3.3). (c) Find the particular solution y...
In this problem we consider an equation in differential form M dx + N dy = 0. (4x4 + 2y) dx +(- (2x + y2))dy = 0 Find My Nx = = If the problem is exact find a function F(x, y) whose differential, dF(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) solutions to the differential equation. C, give implicit general If the equation is not exact, enter NE otherwise find...