Question 2. Find and classify the singular points of the DE as regular or irregular. (4 Points). а) (х — 2)(х — 3)у" + ху' +. y = 0. (x-3)² x* c) (x+ 1)(x – 2)y" + xy' +; x2 (x+1)2Y = 0 b) (x – 2)(x – 3)y" + xy' + y = 0. (x+3)² d) (x + 1)(x – 2)y" + xy' +; (x-1)2 x² y = 0

Q: Which of the following is the general form of a homogenous equation? A a,(x)y"+a+ ...,(x)y"=0 (x)…

A:

Q: 1. The vector X = k is a solution of x - (: -)x-G) 8, X' 2 for k = Enter only the value of k.

A:

Q: Which of the following functions do not form a set of fundamental solutions of y"-4y=0 Select one:…

A: The general solution of the second order, linear, non homogeneous ordinary differential equation…

Q: 2. Start: y= x What transformations occurred? End: y =-9(x-8)² + 5

A: First   shift the graph right by 8 units.  Then  strecth by (-9) units.  Then  shift upward by 5…

Q: Which of the following functions do not form a set of fundamental solutions of y" - 4y = 0 Select…

A: We have to convert them into general characteristics equation, (D2-4)y=0 Where D = ddt and D2 is…

Q: general form of a homogenous equation? )y" -l+ ... +a,(x)y'+a,(x)y=f (x)…

A: We have to choose the correct answer from the given options according to the given information

Q: for the quartic function represented by this graph?

A: In the given question, the concept of quartic function is applied. Quartic Function A quartic…

Q: Determine the singular points of (x² – 9)?y" + (x + 3)y' + 2y = 0 and classify each singular point…

A: Use the definition

Q: (b) (2, -5π/6) (r, 0) = (r, 8) = y -1 -2 -3 -5 -1.5 (r> 0) ] ) (r< 0) 1 -1.0 2 3 -0.5 4 y -0.2 -0.4…

A:

Q: a) f(z) = vz+Vz - 1 b) f(z) = Vz2 +9 %3D

A: A branch point of an analytic function is a point in the complex plane whose complex argument can be…

Q: -If u = x2 tan-1 २|४ y = - y² tan-1 x 22u дхду x² что - у² + J²u u ә2u u дхду дудх L ala 2

A:

Q: of the form y₁ = (1+₁2+ a₂x² + 3x³ + ...) 32 = x2(1+b₁x + b₂x² + b₂x³ + ...) where T₁ > T2- Enter…

A:

Q: a2u a2u 2y дхду a²u )Find du where ax - - axây' ay? u = x3 - 2x2 + 2y3 – 6xy + y ax2

A:

Q: Solve for f) only. a) b) c) d) e) are posted and solved.

A: Step 1: Step 2: Step 3: Step 4: Step 5: Step 6:

Q: Given y = Vx – 2Va – 2; Find y'. - |

A:

Q: 2- x3(x-1)y" + (x-1)y' -4xy =0 3- x2(x2-4)y" +2xy' -3y =0 4- x*y" + y =0

A:

Q: d. (6j-7) / (3j-12) е. (8e/4)(Зе/8) f. (2230)/ (4260) 12ejs g. 34 h. (2ei*)(2/4) i. (5(cos(20) +…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 2y4-6x3 +|1x=-37x-16 dx X3 - 3x2+5x-I5 2x

A:

Q: 4. A) Factor f(x) into linear factors given that k is a zero of f(x). B) Find all roots of the…

A: f(x)=6x3+19x2+8x-5, k=-1To:a) Factor f(x) into linear factors b)Find all roots of the function

Q: 5. Use the method of undetermined coefficients to solve (a) y" +2y' + y = x²e¬ª.

A:

Q: a3 f 2- Find the third derivative for for f (x, y) = sin əx3 -2sin?cos()+2 sin) sin By'sini )+2…

A: The given function isf(x, y)=sinxy

Q: • Solve the equation using homogenous equation (5v-u)du + (3v - 7u)dv = 0 a.)(3v +u)² = c(v - u)…

A:

Q: 7. On a certain mountain range, the level is z = 1200 -0.02x² -0.04y². points north. The climber is…

A:

Q: y"+y' + (a) -5 x-b = 0, Xo = 2 is 5. (b)-3 (c)-2 d)-8 Q7) L(y") = a) s²L(y(x)) + sy(0) - y'(0) c)…

A: We have given the answer in the next step. Hope you understand that

Q: Q6 : find 1) j(1 – jv3)(v8 +j) 2) (1+j)(1– j/3)² 3) cos-1(2)

A: (1) j(1-j3)(8+j) Use the property (a+b)(c+d)=ac+ad+bc+bd in the expression (1-j3)(8+j) and…

Q: du du dx' dy 1) u = 3x²y + xlny² - Inxy 2) u =xe*Y+ ‡ ArcTan , 3) u = +2²-3² I. Find and (whenever…

A:

Q: 10. Subtract 2- V- 64x²y* from – 3– xy-9y' and express the result in a + bi form

A: Answer and explanation is given below

Q: The following are equations in terms of r, y, z and w. (i.e. any other letter in the equations are…

A:

Q: Q1:- A) solve the following D.E '5 x?y" + 1 - B):- у" + у' — бу %3D 8е3х

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: Select all the points through which a unique solution for the DE y'=/13-x²-y2 is guaranteed by the…

A:

Q: 1. (а) 52x $* (b) 3' x 32 - 5 2. (a) k* x k? (b) m³ x m 3. (а) у к (-у") (b) -x (-)

A: Given: 1.(a)52×56  (b)33×332.(a)k4×k7   (b)m5×m9   3.(a)y2×(-y10)  (b)(-z3)×(-z4)

Q: If x2 z2 + y² + xz3 = 3, then dz at the point (1, 1, 1) is: O b. Ос. - 3 d. - 3 Ое. f.

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.