dy dx 2x-1 Q1) find for the following functions a) y = b) y = x3e-*...
(a) [1[*(2x*y + 4y2) dy dx (b) ["" ["(y cos(x) + 6) dy dx cos [**(buye* * *) ay ox (a) LiS.*r-* log(4) dy dx (-x log(y)) dy dx -Il
Q1: Solve the ODE: f) Vyy' + y3/2-1. y(1) = 0. g) (2x +y)dx(2x+y-1)dy 0. i) dx=xy2e": y(2)=0. j) (1 + x*)dy + (1 + y*)dx = 0; y(1) = V3. Q1: Solve the ODE: f) Vyy' + y3/2-1. y(1) = 0. g) (2x +y)dx(2x+y-1)dy 0. i) dx=xy2e": y(2)=0. j) (1 + x*)dy + (1 + y*)dx = 0; y(1) = V3.
Which one is the solution to this equation (1 + y2 sin 2x)dx – 2y(cos x){dy = 0 denkleminin çözümü aşağıdakilerden hangisidir? 19- x + √y²+1=c O A) xy - Inx=0 B) x-y(cos x)2 = C xye-y - 2 = 0 D) ce-x = y E
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
. Find the first derivatives (dy/dx) for each of the following functions. Do not need to simplify. (3 points each) A. y = (2x^5 + 3x^3)^2 B. y = (8x^3-56x^2+3x)/(x+12) C. y= (6x2 + 3x) (x – 4x3)
Find the dy/dx for the following equations (e) (y+1)= x +42 (f) x3 + y2 = 4.1 (g) xy = 3ry +3 (h) ya = r sin(1)
1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and d’y/dx2 for which t is curve concave upward x = x3 + 1, y = t - c)Find the points on the curve where the tangent is horizontal or vertical. Draw the graph x = 13 – 3t, y = t3 – 312 d) Find the area enclosed by the x-axis and the curve x = t3 + 1, y = 2t – t?....
Suppose y = √(2x + 1), where x and y are functions of t. (a) If dx/dt = 3, find dy/dt when x = 4 (b) If dy/dt = 4, find dx/dt when x = 40.
dy Use implicit differentiation to find dx 2x²y + 9xy2 = 9 dy dx ||
Problem 3: Find a solution to the IVP dy dy + dc2 + y = 0, y(0) = y'(0) = 1. dx Problem 4: Suppose you are given the differential equation ay" +by' + cy = 9(2) where a, b, and c are constants. For each of the following choices of g(x), write down the form for the particular solution Yp that you would use: (a) g(x) = 205 (b) g(x) = x²e32 (c) g(x) = xº cos(x) (d) g(x)...