Q2: choose the right answer: 1. Determine whether y = e3t is a solution of ý...
II. Determine the general solution of the given 2nd order linear homogeneous equation. 1. y" - 2y' + 3y = 0 (ans. y = ci e' cos V2 x + C2 e* sin V2 x) 2. y" + y' - 2y = 0 (ans. y = C1 ex + C2 e -2x) 3. y" + 6y' + 9y = 0 (ans. y = C1 e 3x + c2x e-3x) 4. Y" + 4y = 0, y(t) = 0, y'(T) =...
Question 6 The solution of the differential equation x?y" – 3xy' + 4y = 0) is Select the correct answer. a. y = cpx?+ czx?inx b. y=cqx+cax? c. y = cqx+c2xlnx (3-5 d = 1x 6-7 +cax e. y = cix+cox?
For each nonhomogeneous linear equation below, determine what the guess solution yp would be for the method of undetermined coefficients. with steps! Thank you (a) y′′ − 4y′ + 13y = 80e−3t (b) y′′−6y′+9y=(t+1)e3t (c) y′′+4y=sin(2t)+t3−1 (d) 4y′′ − 4y′ + y = 16et/2
(17 points) Match the third order linear equations with their fundamental solution sets. 1. y" + 3y" + 3y + y=0 2. Y" - 8y" + 15y = 0 3. y" - y" - y' + y = 0 4. ty" - y = 0 5. y" + y = 0 6. y" – 3y" + y - 3y = 0 est A. 1, e3t, B. e3t, cos(t), sin(t) c.1, t, 13 D. 1, cos(t), sin(t) E. e , te,...
Q-1) Choose the right answers for the following questions: n+1 a-) + b-) + + + + + + INWIN + + ww + + WIN WIN + ... + + ... 2) n sin(nx) = a-) 0 + 2 sin(2x) + 4sin(4x) + ... b-) 2sin(x) + 3sin(2x) + 4sin(3x) + .. C-) sin(x) + 2sin(2x) + 3sin(3x) + ... d-) sin(x) + 3sin(2x) + 5sin(3x) + ... 3) For y = x² + xy + y2 + 3x...
1. Can we obtain a general solution? 2. What techniques would you use in order? sin(t)y" + 4y = 1, Y" - sin(t)y=sin(t), Given a solution y(t) of the ODE is also provided Given two solutions y(t) and y(t) are also provided a sin(y") + b sin(y') + csin(y) = 0, a,b,c > 0 y" + 2ty' + y2 = 0, Given a solution y(t) of the ODE is provided
Question 4 4. Determine what the guess solution yp would be for the method of undetermined Coefficients, for each non homogeneous linear equation : q. y" + 4y = sin(2t)+ + - 1 t/ b. 4y" - 4y + y = 16e
Determine whether the guiven order pair is a solution of the system of equations 1. (1,-1) 3x-2y=5 -2x+4y=6 2. (-2,3) x-y = -5 -3x+2y=12 Solve Graphically x+y=2 2x-y=1 2x+y=0 3x-5y=0 4x-2y=10 x+3y=6
homo 2nd order linear equations is necessarily the number -b/2a)]. 1. Find the general solution to the following homogeneous differential equations. (a) y" - 2y + y = 0 (b) 9y" + 6y + y = 0 (c) 4y" + 12y +9y = 0 (d) y' - 6y +9y = 0 2. Solve the the following initial value problems. (a) 9y" - 12y + 4y = 0 with y(0) = 2 and y(0) = -1 (b) y' + 4y +...
(17 points) Match the third order linear equations with their fundamental solution sets. 1. y" - Y" - ' +y=0 2. y'" - 5y" + 6y' = 0 3. ty" - y" = 0 4. Y" + y 0 5.Y" - 6y" + y - by = 0 6. Y" + 3y" + 3y + y=0 A. e , te, tet B. e, cos(t), sin(t) C. 1, cos(t), sin(t) D. 1, t, 13 E. et, tet, et F. 1, 2,...
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