Obviously No Option is correct
Hence option NONE OF THESE (2) IS CORRECT.
Question 28 Solve DE: y(4) - 2 y(2) + y = 0 Oy=cieľ + C2 xe* + c3e-* + C4xe Oy=Cix + c2xlnx + c3x-1 + c4 x-1 In x O None of them Oy=cie + C2 X + c3e-* + c4 x-1
1. Solve the following DE: (50 pts) (1, if 0<x51 a) y+ y = f(x), y(0) = 3 where f(x)= 0, if x>1 (10 pts)
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....
The Bessel equation of order one-half is X .2 dy d.2 + X dy dar +(x2 - :) y = 0, X > 0 4 a) Verify that yı(x) = x-1/2 sin x is a solution to the equation b) Use reduction of order to find a second linearly independent solution. (Hint: one possibility is y2(x) = x-1/2 cos x.] c) Compute the Wronskian of these two solutions explicitly and verify that it is equal to the solution we computed...
2. Solve the DE: (3x²y + cos x) dx +(x +e") dy = 0
Solve The Given Initial-Value Problem. The DE Is Homogeneous. (X + Yey/X) Dx ? Xey/X Dy = 0, Y(1) = 0
solve using Exact and Non-Exact DE 13. -y dx +(x - x) dy 0 dy 0
Use Laplace Transform to identify Y(s) of the DE: y"-y'-by = 0, given y(0) = 1, y'(O) = 2. O None of them Both are correct. Y(s) = 4 5(8-3) + 5(8+2) OY (s) = 8+1 (5-3)(8+2)
In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine what type of DE it is.) 1. (2xy + cos y) dx + (x2 – 2 siny – 2y) dy = 0. 2. + cos2 - 2ary dy dar y(y +sin x), y(0) = 1. 1+ y2 3. [2ry cos (x²y) - sin r) dx + r?cos (r?y) dy = 0. 4. Determine the values of the constants r and s such that (x,y)...
solve the given de or ivp 3. [2xy cos (x²y) - sin x) dx + rcos (2²y) dy = 0.