6. specify which letter answer Y2 = it has gereral solution? ssole differential equation y =...
9. specify which letter answer a two lirearly independent solutions of the differential equation y"-1441-494-0 ore af y, =ė? .Yz-Xerx UX b) y, = e 1 Y2 = xex YZ = Xe²7 6 yi=ex d) es vize" Yo = ex Y2 = ex 77 1 Y = e-7x
11. please show all work and specify which letter answer If one solution of the differential Y"+2ylty=0 is yi=e* Use method of reduction order (lety-oy), a second linearly independent solution is a) y = et c) y=xe* e) y e* 6) y=xe d) y=c
Solve differential equation y'=x?y2 by separation of variables, it has a general solution -- Select the correct answer. a. y = b. y = 3 c. y=- x+c d. y = y2 + 2xy + c 2 e. y = x²+c
10. pleaae show all work and specify which letter answer cs Vi=est Y2= xet 10 Two linearly independent solution of the differential equation Byl + Syl-zy o are a) y = e 6x b) yi-e6x Y2=ex d) vize ed y,=(2x 192 Y = e2x Ya=est
4. specify which letter answer 4) An integrating factor for the lirear differential equation Xy't xy=1 is aj o c) e) et dJ x
8. specify which letter answer 2 can be &re differential equation y-- solved using the substitution eju= y3 b) uzy = = = - =ن که الله الله - 2
Q14 Method of Separating Variable 0.75 Points Solve the differential equation z2ux + y2 uy = u using the method of separation of variables if u(0, y) = et 0e Bez o 0e23 e
Q14 Method of Separating Variable 0.75 Points Solve the differential equation z2ux + y2 uy = u using the method of separation of variables if u(0, y) = et 0e Bez o 0e23 e
Problem #4: Use separation of variables to find a product solution to the following partial differential equation, Ou (5y + 8) ou си + (3x + 6) oy = 0 that also satisfies the conditions u(0,0) = 9 and ux(0,0) = 8. Problem #4: Enter your answer as a symbolic 9*e^(1/9)*(3*x^2/2+6*X-5*y^2/2-function of x,y, as in these examples + 6x - 9e1/9(3 + 52 - 8y) Just Save Submit Problem #4 for Grading Problem #4 Attempt #1 Attempt #2 Attempt #3...
(1 point) Match each differential equation to a function which is a solution. FUNCTIONS A. y = 3x + x2, B.y= e 4x, C.y=sin(x), D.y=x2, E. y = 3 exp(62), DIFFERENTIAL EQUATIONS 1. y' +y=0 2. 2x²y" + 3xy' = y 3. y' = 6y 4. y" + 10y' + 24y = 0