(b) (8) Consider the following equation where a is a constant. Given that the integrating factor...
By show it means prove not solve for the if again Thank you! (a) Show that eis an integrating factor for the DE (b) Show that a general solution y y(z) of the DE (1) is given implicitly by the equation F(x, y) c where c is a constant and where F(x, y) = e-r2(y2(z"y + 2)-1 ) (a) Show that eis an integrating factor for the DE (b) Show that a general solution y y(z) of the DE (1)...
2. Consider the equation aty' +by = tº,y(1) =d where a,b,c and d are constants. For this question you will solve the problem via the Integrating Factor method. Do so following the steps below. A. Put the equation in standard form B. Find the integrating factor C. Multiply the equation by the integrating factor D. Assume +c=2 and integrate to solve the equation. E. Find the constant of the solution in part D in terms of a, b,c,d) using the...
Find an integrating factor of the form x'" and solve the equation. 1.2 An implicit solution in the form F(x,y)= C is | -C, where C is an arbitrary constant, and V by multiplying by the integrating factor s the variables.) the solution x=0 was lost no solutions were lost the solution y 0 was lost
Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the form F(x,y) C is C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.) Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the...
Struggling with this differential equations problem. Can't find the integrating factor to continue Solve the equation. (4x2 +2y+ 2y2dx + (x + 2xy)dy 0 An implicit solution in the form F(x,y) C is by multiplying by the integrating factor C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.)
Problem 1 (20 points) Consider the differential equation for the function y given by 4 cos(4y) 40e 2e) cos(8t)+5 eu 2t) sin(8t)/ - 12e - 0. 8 sin(4y) y a. (4/20) Just by reordering terms on the left hand side above, write the equation as Ny + M 0 for appropriate functions N, M. Then compute: aN(t, y) ayM(t, y) b. (8/20) Find an integrating factor If you keep an integrating constant, call it c (t) N and M M,...
Not sure how to apply integrating factor! Thank you in advance! Use the integrating factor method to find y solution of the initial value problem y' = - y + 5t, t > 0. y(0) = -3 (a) Find an integrating factor µ. If you leave an arbitrary constant, denote it as c. u(t) : Σ ce^t (b) Find all solutions y of the differential equation above. Again denote by c any arbitrary integration constant. y(t) Σ (c) Find the...
Using the integrating factor method, find the general solution of the differential equation: y + 2 y = 4 x>0. y = x + 2 5 ºr - Syno 04 - 1 - /
Identify the equation as separable, linear, exact, or having an integrating factor that is a function of either x or y alone. (4x+3x - 3y)dx + (xy3 – x-2)dy = 0 Select all that apply. A. exact B. has an integrating factor u(x) or (y) not equal to a constant C. linear D. separable E. none of the above
(2) [Problem 1.9.25 Part 1] Determine the integrating factor for the following differential equation. æży dx + y(x3 +e-34 sin y)dy = 0 (3) [Problem 1.9.25 Part 2] Use the integrating factor found in the previous prob- lem to solve the differential equation xạy dx + y(x3 +e-34 sin y)dy = 0.