A. Find the singular points of given differential equation. Determine whether the singular points are regular...
be quick please 10. Find all singular points of the following equation and determine whether each one is regular or irregular?* (8 Puan) x? (1 - x)?y" + 2xy' + 4y = 0 0 0 and 1 are regular singular points. 0 0 and 1 are irregular singular points. Onone of these 1 is a regular singular point, O is an irregular singular point. O O is a regular singular point, 1 is an irregular singular point.
Find all singular points of the following equation and determine whether each one is regular or irregular? a) 0 and 1 are regular singular points. b) 1 is a regular singular point, 0 is an irregular singular point. c) 0 is a regular singular point, 1 is an irregular singular point. d) none of these e) 0 and 1 are irregular singular points. x? (1 – x)2y" + (x - 1) y' + 4y = 0
10. Find all singular points of the following equation and determine whether each one is regular or irregular?* (8 Puan) (1 - 1)?y" + 2xy' + 4y = 0
Find all the regular singular points of the given differential equation. x?y" – x (6 + x)y' +(6+x?)y = 0 If necessary, enter your answers separated by commas. If there is no regular singular point, enter NA. X=
2. (5 points) Determine and classify (as regular or irregular) all singular points of the following differential equation y (x-1 ad 2. (5 points) Determine and classify (as regular or irregular) all singular points of the following differential equation y (x-1 ad
Given that x =0 is a regular singular point of the given differential equation, show that the indicial roots of the singularity do not differ by an integer. Use the method of Frobenius to obtain two linearly independent series solutions about x = 0. Form the general solution on (0, ∞) 2xy''-y'+y=0
(a) Determine the singular points of the differential equation (x2 - 16)y" (x + 4)y y 0 State whether they regular are (b) Determine the singular points of the differential equation (х + 3)у" + y ln |x|y 0. State whether they are regular (c) Compute the root indicial equation for x2y" 5ху + 5у %3D 0. + 6ху — 10у %3D 0. (d) Compute the root indicial equation for 3xy" + _ (a) Determine the singular points of the...
(Singular Points) (a) Classify the singular points of the differential equation (22 – 1)?y" + (x + 1)y' – y = 0. (b) Determine the indicial equation for the regular singular point(s) found in part (a). Also find the corresponding exponents of the singularity for those points.
Classify each singular point (real or complex) of the given equation as regular or irregular. 3x?y" - 8xy' + 15y = 0 Identify all the regular singular points. Select the correct choice below and fill in any answers boxes within your choice. O A. X= (Use a comma to separate answers as needed.) OB. There are no regular singular points. Identify all the irregular singular points. Select the correct choice below and fill in any answers boxes within your choice....
Determine whether x=0 is a regular singular point of the differential equation 2x²y"+xy'+(x²-1)y=0.hence find the general solution near x=0