Q-1) Choose the right answers for the following questions: n+1 a-) + b-) + + +...
help with questions number 4 and 5 only sorry I cropped it Section 4.5 - Method of undetermined coefficients, annihilator approach Solve the following using the method of undetermined coefficients, obtain the general solution y = yet Yp! 1. y" – 8y' – 48y = x2 + 6 2. y" – 6y' = sin (2x) 3. y' + 9y = xe6x Section 4.5 - Method of undetermined coefficients, annihilator approach Solve the following using the method of undetermined coefficients, obtain...
for differential equations 1. Identify each of the following differential equations as either Separable, Homogeneous, Linear Bernoulli, or Exact and solve the equation using the method of the type you have identified. Many can be classified in multiple ways, it is not necessary to list all possibilities. (3xy2 +2ycos x)+y'-y sin x-x =0 Туре: A. dx General Solution: B. (4xy+xy)2x+ xy2 dx Туре: General Solution: Туре: C. y'y'y+1 General Solution: (3x'y+e')-(2y-x-xe)dy Туре: D. dx General Solution: Туре: dy E. =y(xy-1)...
1. Solve the following differential equations: a. xy'=y+Vxy x+2y+3 y'= b. 2x – y +5 x+2y+3 y'= x+2y+5 y cos(x+y)+x+y d. sin(x + y) + y cos(x+y)+x+y C. y'=
(1 point) Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. yp(x) = Ar? + Bx + C, B. yp(x) = Ae2t, C. yp(x) = A cos 2x + B sin 2x, D. Yp(x) = (Ax + B) cos 2x + (Cx + D) sin 2x E. yp(x) = Axezt, and F. yp(x) = e3* (A cos 2x + B sin 2x) 1. dPy dx2 dy 5- dx +...
solving using Gaussian elimination method to solve the questions above 1. Solve the following systems of linear equations using Gaussian elimination method. a) 3z 9 x 5y 2z 2 1 3 *+2y = 3 b) x+y 0 2x y+3z3 x-2y -z 3 c) xy+z 9 2x +4y-3z= 1 3x+6y 5z= 0 e) 2xz w 5 y-w-1 3x z-w 0 4x +y+ 2z +w 9 2. How many gallons of each of a 60 % acid solution and an 80 %...
Solve the following questions and Choose the correct answer. 1) The General solution to y" + y = 0 sty -3&y(x) = -3 y = cos(3x) + sin(-31) , 3cos(x) – 3 sin(x) 3 ) 3 Answer 2) Suppose that y(t) and y(t) are two solutions of a certain second order linear differential equation, sin(t)y" + cos(t) y' - y = 0. 0<<< What is the general form of the Wronskian Wy ) (6) ? Without solving the equation. b)...
Which of the following defines an inner product on R^3 <(x,y,z),(a,b,c)>= xa+2xb+3xc <(x,y,z),(a,b,c)>= xy+za+bc <(x,y,z),(a,b,c)>= xa-yb+zC <(x,y,z),(a,b,c)>= (x+z)(a+c)+(2x+2y)(2a+2b)+(3x+z)(3a+c)
e. 1 Puestion 16 Let E be the solid tetrahedron with vertices (1,1,0), (1,0,4), (0,1,4), (1,1,4). Let D Hot yet answered be the projection of E onto xy-plane. If I dV = / f(x,y) dĄ, then f(x, y) = Marked out of 3.00 Flag question Select one: O a. 3 + 3x + 3y b. 1 + 5x + 5y c. 1 + 6x + 6y d. None of these e. 2 + 2x + 2y O f. 4 +...
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....