Exam-3 For Jamal Headley Spring 2019 ENT300 Analytical Methods -WebCHARLIE at Buffalo State coltd 1227) Determine the general solution of the DEQ: y'+2oxy 2-y-5x2y2 Also, determine if the DEO is each of the following types: separable, exact, 1st-order linear, or Bernouli? See Exam Instructions Below ho DRO form that demonstrates the DEQ type. ans:6 Exam-3 For Jamal Headley Spring 2019 ENT300 Analytical Methods -WebCHARLIE at Buffalo State coltd 1227) Determine the general solution of the DEQ: y'+2oxy 2-y-5x2y2 Also, determine...
1220) y=Ax+Dx^B is the particular solution of the first-order homogeneous DEQ: (x-y) = 2xy'. Determine A,B, & D given the boundary conditions: x=7 and y=5. Include a manual solution in your portfolio. ans:3
(b) Find the directional derivative of f(x, y, z) = xy ln x – y2 + z2 + 5 at the point (1, -3,2) in the direction of the vector < 1,0,-1>. (Hint: Use the results of partial derivatives from part(a))
1. For the differential equation x’y"+xy'- y = ln x, y = -- Inx. a. What is the order? b. Is it linear, or nonlinear? c. Verify that y=-- In x is a solution of the differential equation.
z1(x) = 2x3 + x ln x, z2(x) = x ln x − x3 are solutions of a second order, linear nonhomo-geneous equation L[y] = f (x).y1(x) = x−2 is a solution of the corresponding reduced equation L[y] = 0. (a) Give a fundamental set of solutions of the reduced equation L[y] = 0. (b) Give the general solution of the nonhomogeneous equation L[y] = f (x).
Solve differential equation. (x/y) (dx/dy) +(ln(y) - x) =0 I have been told it is not solved by substitution. It doesn't look exact or separable. It appears to be linear, but the mixed variable for qx and the natural log is confusing to me.
1, describe the domain of f(x,y) =ln(xy)/square root (x+y).
(1 point) A first order linear equation in the form y' + p(x)y = f(x) can be solved by finding an integrating factor u(x) = expl (1) Given the equation xy' + (1 +4x) y = 10xe 4* find y(x) = (2) Then find an explicit general solution with arbitrary constant C. y = (3) Then solve the initial value problem with y(1) = e-4 y =
(1 point) A first order linear equation in the form y +p(x)y -f(x) can be solved by finding an integrating factor H(x)exp /p(x) dx (1) Given the equation xy + (1 + 4x) y-6xe_4x find (x)-| xeN4x) (2) Then find an explicit general solution with arbitrary constant C (3) Then solve the initial value problem with y(1)e
Please explain b! 2. Let z = f(x, y) = ln(4x2 + y2) (a) Use a linear approximation of the function z = f(x,y) at (0,1) to estimate f(0.1, 1.2) (b) Find a point P(a,b,c) on the graph of z = f(x, y) such that the tangent plane to the graph of z = f(x,y) at the point P is parallel to the plane 2x + 2y – 2=3