SORU 15 the differential equation is exact. (9x2 +3y?)dx+(6xy+9y?)dy=0 Dogru O Yarilis SORU 16
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.
Soru 1 Solve the differential equation (3y +Sxy2) dx + (x + 4x2y) dy - 0 by finding an integrating factor depending on x А x2y + 3x3y2 = 0 B 3xy + 4x2y2 = 0 x3y + 2x3y2 - C x3y + 2xtc
The differential equation4xy²+6xy+(4x²y+3x²+1)dy/dx=0Has solutions of form F(x, y)=c whereF(x, y)= _______
4. Solve the exact differential equation. (1-2xy)dx + (4y3 - x2)dy 0 4. Solve the exact differential equation. (1-2xy)dx + (4y3 - x2)dy 0
Solve the exact differential equation (4x*y+sinx)dx+(x4-y)dy=0.
Find the general solution for the differential equation. x dy/dx + 3y = 4x2 – 3x; x>0 y=_______
Find an integrating factor of the form X"y" and solve the equation. (2x-172-9y)dx + (3y-6x) dy=0, y(1) =1 OA 4x2y3 – 3x3y2 = 1 08.3x2y3 – x3y2=2 ocx?y* - 3x4y2 = -2 D.*?y3 - 3x3y2=-2 Ex?y2 – 3x3y2 = -2
The differential equation : dy/dx = 2x -3y , has the initial conditions that y = 2 , at x = 0 Obtain a numerical solution for the differential equation, correct to 6 decimal place , using , The Euler-Cauchy method The Runge-Kutta method in the range x = 0 (0.2) 1.0
Consider the differential equation: cos(x)dx + (9+ 6y) sin(x)dy = 0 Which of the following can be an integrating factor to make the equation exact? Select all that apply. =csc(x) Ou = 9y+3y2 OH= - cot(a) Ou = €9+67
d2y d2y dy +6 da2 (h) +13y 2sin x +9y = 18x -+3 +6 dx da d2y (i) d2y (j d2 18x3 4y = 2 sin x dæ2 d2y ,dy .dy 9y 9x2 +21x - 10 dc (k) (1)2 7 + - 4y = e-4x +6 'da2 da2 d2y dy dy (m) 2 dæ2 (n) 4 7y= e 6 cos x 9y = 4e-3r dr2 dr dx d2y d2y (p*) dy + da2 dy (o* 2a COS I 2y 2...