check whether equation is exact or not e^x(ye^-x+1)dx+e^x(xe^-x)dy=0
(1 point) Find a particular solution to dy dy x2 + 4x + 2y =x' sin(x). dx in x > 0 ур (1 point) Find a particular solution to dy dy x2 + 4x + 2y =x' sin(x). dx in x > 0 ур
find the particular solution that satisfies the initial condition dy/dx= (2x+sec^2x)/2y , y(0)=-5
Find an integrating factor for (2xy^2)dx + (2x^2y+x^2y^2)dy = 0
Which one is the solution to this equation e-Ydx - (2y + xe dy = 0 denkleminin çözümü aşağıdakilerden hangisidir? xy - Inx = 0 A) x + y = Cx2 B) y ln x + x2 = 0 xe y - y² =c OD) x2 + (tan y)2 = 0 Ο Ε)
1. (10) Solve the following initial-value problem. Give an implicit solution (x + ye /*)dx - xe /*dy = 0, y(1) = 0
Letf(r, y. z).(2xve, + yen.x,z, + xe".3x, yt, +cos:). a. Please find (2y+ye 5. С:/(r)-(cost.sin 1,1). Osis". dy b. Please to prove that F is a conservative vector field: ye". c. Please find J2xye d. Please find the potential function fx, y, z) such that F Vf e. Use the part (d) to evaluate F dr along the given curve C. f. Please find curlF g. Please find curlF Letf(r, y. z).(2xve, + yen.x,z, + xe".3x, yt, +cos:). a. Please...
explain please 2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e + y)<x+ſe+x)dy = 0 c.(ye* +1) dx +(e' + xy) dy = 0 d. (sin x+cos y) dx +(cos x +sin y) dy = 0 e. (eº+1) dx +(e? + 2) dy = 0 3. The solution of the following separable DE xy' =-y? is a. y= '+c b. y=- c. y = In x+c In x+c d. In y=x? + e. yer+C 4....
(ve cos2x - 2e+ sin2x + 2x)dx +(xe" cos2x - 3)dy = 0 a) Determine if it is exact or not; b) Find the general solution.
Solve the initial value problem dy dx+2y-4e0y(O)2 The solution is y(x) Solve the initial value problem dy dx+2y-4e0y(O)2 The solution is y(x)