(1 point) Find y as a function of x if y" – 7y" + 10y' = 12et, y(0) = 10, y(0) = 29, y' (0) = 10. y(x) = (21/2)+(41/2)^(2x)-3e^(5x)+3e^(x) 000 (1 point) Find a particular solution to y" + 36y = –24 sin(6t). yp = 16-3e^(-3t)-8cos(3t)
Find fxx(x,y), fxy(x,y), fyx(x,y), and fyy(x,y) for the following function. f(x,y)=6x/7y-9y/5x Find fx(x,y), fxy(x,y), fyx(x,y), and fyy(x,y) for the following function. 6x 9y f(x,y) = 7y 5x fox(x,y) = fxy(x,y) = fyx(x,y)=0 fyy(x,y)=0
Suppose X and Y have joint probability density function fX,Y(x,y)=70e?3x?7y for 0<x<y; and fX,Y(x,y)=0 otherwise. Find E(X). (You may either use the joint density given here,
1.Find the partial derivatives of the function f(x,y)=(8x+8y)/(6x-7y) fx(x,y)= fy(x,y)=
(16 points) Find y as a function of x if y'" + 25y' = 0, y(0) = -7, y' (O) = -15, y" (0) = 100. y(x) =
x'-y,y 10x-7y using the method of elimination. 2) a) Find the general solution to b) What happens to all solutions as ? You should find that all solutions approach the same point (x, y). This is an example of a fixed point. c) Find the particular solution to the IVP consisting of the above system of equations and the conditions x(0)2, y(0)-7
1.Find fxy(x,y) if f(x,y)=(x^5+y^4)^6. 2. Find Cxy(x,y) if C(x,y)=6x^2-3xy-7y^2+2x-4y-3 Find (,,(Xy) if f(x,y)= (x + y) fxy(x,y) = Find Cxy(x,y) if C(x,y) = 6x² + 3xy – 7y2 + 2x - 4y - 3. Cxy(x,y)=0
Find f, and f, for f(x, y)= 12(8x-7y+94. fx(x,y)=
(1 point) Find y as a function of x if y(4) – 10y" + 254" = -392e-27, = 16. y(0) = 4, y(0) = 24, y" (O) = 17, y" (0) y(x) =
y" – 7y' +12 y = 0, y(0) = 3, y'(0) = -2. a. (4/10) Find the Laplace Transform of the solution, Y(8) = L[y(t)]. Y(8) = M b. (6/10) Find the function y solution of the initial value problem above, g(t) = M Consider the initial value problem for function y, y" + 10 y' + 25 y=0, y(0) = 5, y (0) = -5. a. (4/10) Find the Laplace Transform of the solution, Y(s) = L[y(t)]. Y(s) =...