3. as fast as possible please Find all Singular points of the given differential equation then classify as Irregular Singular Points ISP,or Regular Singular Points, RSP.(1-x²)y" + (x + 1)y' + y = 0Both x=-1 and x=1 are RSPx=-1 Is ISP and x=1 is RSPBoth x=-1 and x=1 are ISP'sx=-1 is RSP and x=1 are ISP

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Answered: Find all Singular points of the given…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find all Singular points of the given differential equation then classify as Irregular Singular Points ISP, or Regular Singular Points, RSP. (x²-4)y" + 1 -y' + X-2 1 x + 2 Both x=-2 and x=2 are ISP's x=-2 Is ISP and x=2 is RSP Both x=-2 and x=2 are RSP's x=-2 is RSP and x=2 are ISP -y=0
Please do number 2 thank you
Solve this differential equation: 1.) (x^2-4x-4)(y^2+1)dx+2y(x^3-2x^2+4x-8)dy=0; when x=4,y=1
The solution of the following linear differential equation y' - (sinx)y= 2sinx is: y=-2+ce^(-cosx) O y=2-ce^(-cosx) None of them O y=-2+ce^(-sinx)
Match the differential equation with its direction field. y' = 10 - y \ 20} \ \ / 0:34 / 0.2 Q.1 10 -Q.31 1-0.2 I +0,1 0.1 0 - 0.2 / /0,3 o-2 -1 1 2 -0.3- --0.2 -0.4 0 - 0.2 -0.3 0.1 0.2 30:3+ ++++ o-2 -1 2 Give reasons for your answer. O The slopes at each point are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 10, y' = 0. O y' = 10 - y = 0 on the lines x = 0 and y = 10. O The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y = 10, y' = 0. O y' = 10 - y = 0 on the lines x = 0 and y = 0, and y' > o for 0
Match the differential equation with its direction field. y' = 9(x + y) - 1 | y y y y 0.3 15 0:2 / 0:2+ 0.1+ 0:1- /// / // -Q.3) -Q.21 -Q.1\ \ 01- -0.2 /0,3 / -0.3- -0.2- -0.1- 0.1 1- -0.2 - -0.3 //// //// -0:1- مر م م مر محر //// ///// / //// //// // 0 for 0 < x < r/9, 0 < y < n/9. y' = 9(x + y) – 1 = 0 on the line y = -x + 1/9, and y' = -1 on the line y = -x. y' = 9(x + y) – 1 = 0 on the lines x = 0 and y = 9. The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y = 9, y' = 0. The slopes at each point are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 9, y' = 0. %3D
Find all Singular points of the given differential equation then classify as Irregular Singular Points ISP, or Regular Singular Points, RSP. (1+x)²y" +3(x² - 1)y' + 3y=0 x=-1 is ISP x=1 is RSP Both x=-1 and x=1 are RSP's Both x=-1 and x=1 are ISP's x=-1 is RSP, x=1 is ISP
azu Ex: Solve the partial differential equation дудх ди sin³x cos?y given that siny when x=0 and u=2 when ду %3D y=0
The solution of the first order linear differential equation y' + ycotx = cosx is O ycosx=[(sinx)^2]/2 + c None of them ysinx=[(cosx)^2]/2+ c O ysinx=[(sinx)^2]/2 + c

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Find all Singular points of the given differential equation then classify as Irregular Singular Points ISP, or Regular Singular Points, RSP. (1-x²)y" + (x+1)y'+y=0