Show that the given equation is not exact. However, it becomes exact when multiplied by the...
1) Consider the following equation. 6xy dx (4y 9x2)dy-0 a) Show the equation is not exact. b) Find an integrating factor that will make it exact. c) Use the integrating factor to solve the resulting exact equation.
Determine whether the given differential equation is exact. If it is exact, solve it. If not, find an appropriate integrating factor, then solve 6. M,-N ydx x2y_ndy-0 (Hint: μ(x) e
14. Find the integrating factor p so that the non-exact differential equation becomes exact (2 Points) (2x + tan y) dx + (x - x2 tan y) dy = 0 O u = csc y O u = - tan y O u = cos y O u = sec y This question is required.
Exercise 2 (4 marks) Consider the equation, (2y 6x)dr + (3r - 4xy 1)dy 0 1. Is it exact? 2. Use a special integrating factor to solve the equation. Exercise 2 (4 marks) Consider the equation, (2y 6x)dr + (3r - 4xy 1)dy 0 1. Is it exact? 2. Use a special integrating factor to solve the equation.
[8] 2. Consider the differential equation dx + (1 - sin(v)) dy = 0 Determine if the equation is exact. If so, solve. If not determine an approximation integrating acco the equation exact. Verify that the new equation is exact, and solve the differential equation using the integrating factor you have found. (Hint: the integrating factor should be a function of y only.)
Consider the equation 2xy (y dx + x dy) = (y dx - xdy) sin - Is the equation exact? If not, find an integrating factor, and solve the equation that is exact with the integrating factor
Identify the equation as separable, linear, exact, or having an integrating factor that is a function of either x or y alone (3x+3x - 3y)dx + (xy? - x-2)dy = 0 Select all that apply. A. has an integrating factor p(x) or p(y) not equal to a constant OB. linear OC. separable D. exact E. none of the above
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
The differential equation 6xy2 + 2y + (12x²y + 6x + can be made exact by using integrating factors. The integrating factor is u = Preview The solution is Preview
Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.) (1 + ln(x) + y/x) dx = (2− ln(x))