Mathmatics question,
can you help me pleas,
Consider the DE
a. Verify that this DE is NOT exact
b- Find an appropriate integrating factor to make the DE exact.
c- Find the general solution of this DE.
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on someone Hele Me Sim x nts/504579395186777014 + (graded) Section 2.6: Exact Equations and Integrating Factors < Previous Consider the differential equation: 9 + (4y sec(8y) - 8-tan(87)) y = 2 a. This equation is not exact because M, = does not equal N. b. Find an integrating factor, j, to make the equation exact. Do not include an arbitrary constant in your answer for By assuming that is a function of only (enter x or y), we get that...
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)...
Mathmatics question, Can help me pleaseSolve of the following DEs
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.
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Question 1 (35) 1. Build the characteristic polynomial for the DE z',-4x,-52-0 and find two particular solutions. Here, x' = dx/dt, x" = d2x/dt2. (15) 2. Verify that the two solutions are linearly independent. (5) 3. Build the general solution to the DE as a linear combination of these two solutions. (5) 4. Using the general solution, calculate the solution for the same DE with the initial conditions z(0) 5, x(0) 3. (10) Question...
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,...
[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.)
In this problem we consider an equation in differential form M dx + N dy = 0. The equation (2е' — (16х° уе* + 4e * sin(x))) dx + (2eY — 16х*y'е*)dy 3D 0 in differential form M dx + N dy = 0 is not exact. Indeed, we have For this exercise we can find an integrating factor which is a function of x alone since м.- N. N can be considered as a function of x alone. Namely...
(1 point) In this problem we consider an equation in differential form M d.c + N dy=0. The equation (42 +3=”y 2) dx + (422.1, + 3)dy=0 y in differential form ñ dx + Ñ dy=0 is not exact. Indeed, we have Ñ , -Ñ , For this exercise we can find an integrating factor which is a function of y alone since Ñ , - Ñ , M is a function of y alone. Namely we have (y) =...
Q1) (10+21+4-35 pts.) Consides the differeatial equation (DE) a) Show thnt. a-? is an integrating factor. )Solve tiae DE )- e) Find the solution of the DE stisfying the initial conditc