Use logarithmic differentiation to find dy/dx. y = XV x2 + 25 X>0 dy - dx Need Help? Read It Talk to a Tutor
If a quantity y satisfies the differential equation dy = kx(10-y), k>0 dx. when X = 2 and y = -7, the graph of yir increasing decreasing constant cannot be determined
The Bessel equation of order one-half is X .2 dy d.2 + X dy dar +(x2 - :) y = 0, X > 0 4 a) Verify that yı(x) = x-1/2 sin x is a solution to the equation b) Use reduction of order to find a second linearly independent solution. (Hint: one possibility is y2(x) = x-1/2 cos x.] c) Compute the Wronskian of these two solutions explicitly and verify that it is equal to the solution we computed...
Suppose f is continuous, f(0)=0, f(2)=2, f'(x)>0 and f (x) dx = 1. Find the value of the integral fro f-?(x) dx =?
3) (1 point) The boundary layer flow separates from the surface if (a) du/dy = 0 and dp/dx = 0 (b) du/dy = 0 and dp/dx > 0 (c) du/dy = 0 and dp/dx < 0 (d) The boundary layer thickness is zero
3) (1 point) The boundary layer flow separates from the surface if (a) du/dy=0 and dp/dx = 0 (b) du/dy = 0 and dp/dx > 0 (c) du/dy = 0 and dp/dx < 0 (d) The boundary layer thickness is zero
gen. • solution of (1) 2² y +3ny -15y =o) z>o (2) 2 By dy - ln x=0 x 20 x azu
2. a) Solve the initial value problem dy 1 dx 1+2x y -2x+1:y(2)-5 b) Explain why this solution is defined for all x >-
Find the general solution or particular solution of each the following DE's 1) (y-y2 tanx)dx + (2y+tanx)dy=0 2) (x2+y2+x)dx + xydy-0 i y(-1)-1 4) For the initial value problem y' + xy - xy? ex2 ; y(0)-1 Find the explicit solution if y>0 dy dae dy
arctan log (?)) for any r > 1: Problem 4. Given that y = y(x) a) Evaluate r = *(y) at y = /4; b) Evaluate da/dy at y = 0.