Use a power series centered about the ordinary point x0 = 0 to solve the differential equation (x − 4)y′′ − y′ + 12xy = 0 Find the recurrence relation and at least the first four nonzero terms of each of the two linearly inde- pendent solutions (unless the series terminates sooner). What is the guaranteed radius of convergence?
Solve x′ =2x+y, x(0)=1 y′ =3x+4y, y(0)=0
Solve: y" + 4y = 8 sin x. O y = A sin 2x + B cos 2x + (8/3) sin x O y = Ae^(2x) + Be^(-2x) y = A sin 2x + B cos 2x O y = A sin 2x + B cos 2x + sin x
(1 pt) Let f(x, y, z) = 12xy – 22 x = 8r cost) y = cos (t) z=8r Use the Chain Rule to calculate the partial derivative of (Use symbolic notation and fractions where needed. Express the answer in terms of the independent variables.) help (fractions) Preview Answers Submit Answers
Results for this submission Entered Answer Preview X*[e^(2x)] 2e2z (8/3)*(x^3)+C 2 223 + c At least one of the answers above is NOT correct. 1 of the questions remains unanswered. (1 point) A first order linear equation in the form y' + P(x)y = f(x) can be solved by finding an integrating factor (2) = (1) Given the equation zy' + (1 + 2x) y = 8xe -2- find y(x) = xe^(2x) (2) Then find an explicit general solution with...
Solve the following ODE for y(x) y''+y'-2y=sin(2x) y(0)=2 y'(0)=0
NIS 4) The joint pdf of X and Y is 1, 0<x<1, 0<y< 2x, fx,8(8,y) = { 0, otherwise. otherwise. or 1 (Note: This pdf is positive (having the value 1) on a triangular region in the first quadrant having area 1.) Give the cdf of V = min{X, Y}. x
(2x+ 2 x y²) dx + ( x ²) - 3y) dy = 0 solve your equation
7c. Solve for x and y by using unimodular row reduction with initial parameters x=0 and y=1 when independent variable t=0 2x(D-2) + 6y = 0 2x + y(D-1) = 0
a. With Laplace transformers solve x"+4x'+20x=0 ; x(0)=4 & x'(0)=-5 b. With Laplace transformers solve x'=2x+2y and y'=2x-y ; x(0)=1 & y(0)=2