v.Find an equation whose roots are the 3 times of the roots of 2x' +3x² +5x-2=0? a. 2y +3y² +5y–2=0 c. 2y' +9y² +45y-54=0 b. 2y +9y² +45y+ 54 = 0 d. None of the above

Q: If roots of x³ + 5x² – 7x – 1 = 0 are a, B, Y then the equation whose roots are aß, By, Ya is- (1)…

A: To find the cubic equation with the roots as aB , Br and ra

Q: What are the roots of the auxiliary equation corresponding to the DE y(4)+3y"+6y"+5y'+3 = 0? %3D

A:

Q: 4 Find the roots of Z²+1=0 itt/2 Hint i = e 3

A: Given z4+1=0

Q: 4. If A is the set of roots of the equation x³ – 3x + 2 = 0, then A is equal to a) {1; –3; 2} b)…

A: We have to find the roots of the given equation. To find roots of this equation we are going to…

Q: у" + 2у" + у" -D х + ex

A: Given the differential equation y'''' + 2y''' + y'' = x+ ex We find the particular solution form  by…

Q: ?The Third Equation for i3 7in+12i3-=-3-O 5i1+12i3=0- Zir-4i2+16i3=-3- 0

A:

Q: show that 1+i is a root of the cubic equation 3z^3-5z^2+27z-45=0, find the other two roots

A: 3z3-5z2+27z-45 = 0Using rational root test :±11, ±13, ±31, ±51, ±91, ±93, ±151, ±153, ±451,…

Q: B) The roots of HX-3X + 2 =o are a and B. Snd s Land x+P equation whose roots Mew are

A:

Q: Which of the following is the complete set of roots of the auxiliary equation fory""-3y+3y'-y = 0.

A: Given y'''-3y''+3y'-y=0

Q: 16. The roots of the equation x+ 2px + q = Odiffer by 1. Show that p q - 4.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What are the 4 roots of z in the equation: z^4=1

A: Given equation is z4=1 To find : roots of the given equation

Q: The next iterative value of the root of X2 – 4 = 0 using secant method, if the initial %3D guesses…

A:

Q: Which of the following is the complete set of roots of the auxiliary equation fory"'' - 3y "' + 3y…

A:

Q: Assume that P and Q are two positive distinct real roots of the quadratic equation (²₂. - -…

A: given quadratic equation t2-P+Qt+PQ=0 here assume that P and Q are two positive distinct roots of…

Q: Find a quadratic equation whose product of roots x, and x₂ is X₁ X₂ equal to 4 and satisfying the…

A:

Q: If the roots of equation x² - 2cx + ab = 0 a the that th of 2 20 41

A:

Q: Write down all of the product solutions satisfying: и +иу —D 0, 0 <x<2, 0<у<1. %3D u(х,0) — 0, и,…

A: Note:- As per our guidelines, We’ll answer the first question since the exact one wasn’t specified.…

Q: Find an equation whose roots are the 3 times the reciprocal of the roots of 6x-4x +3x-4 0. 6y' -4y?…

A:

Q: obtain the four roots of characteristic equation as follows: p+ Vp? – 8pi? 272 p- Vp? - 8pi? 212 12…

A: As per the instruction, we will have to find the roots that are marked in blue. So, we will be…

Q: 18. Determine the roots of the auxiliary equation of y" + 3y" – 4y – 12y =

A: Follow the procedure given below.

Q: у" — у' — х %3D 0

A: We are given: y'''-y'-x=0⇒y'''-y'=x Auxiliary equation is : m3-m=0⇒m(m2-1)=0⇒m=0, 1, -1 Hence,  CF=…

Q: Solve with frobenius method (Difference of indicial roots equal to positive integer) r1-r2=positive…

A:

Q: 1. Determine the nature of the roots of the following equations: (a) 3x + 5x +4 = 0 (c) x-8x + 16 =…

A: Given that: 1x-1x+1=15

Q: show that Pg(x) =1 (63x' -4 (63x-7ox+15x) 8. Legendre equation when is. equal to 5. fies the…

A: legendre equation with parameter 5 is (1-x2)d2ydx2-2xdydx+30y=0 .....(1) y…

Q: Show that the equation x – 15x + c = 0 has at most one root in the interval [-2, 2].

A: Given the function

Q: B. Solve for the value of x using extraction of roots. Write the roots on the line provided. 1. 16x2…

A:

Q: Determine all the roots of R(y)=12y²+11y-5.

A:

Q: (1– (C+D)), provided (C+D) 4PQ. (28) Substituting (25) and (26) into (28), we get the condition…

A:

Q: Use the Gauss-Seidel method to find the roots of the following equations by repeating for 4…

A:

Q: Refer to the second row Of the toble. 0.06X + 0.1(4600) = 0,09 (x t4500) %3D Solve the eguation 0.06…

A: Given

Q: 1. Use the graph of y = VI to estimate the solution(s) to the following equations YA -150 -120 -90…

A:

Q: 1. What are the roots of the equation (x + 1)(4x – 3) = 0? C) x= 1, - D) x= 1 A) x = -1,3 B) x= -1,

A: (x+1)(4x-3)=0⇒(x+1)=0 or (4x-3)=0⇒x=-1 or 4x=3⇒x=-1 or x=34⇒x=-1 ,34

Q: List the roots of the auxiliary equation for a homogeneous linear equation with real  constant…

A:

Q: Use undetermined coefficients to find the particular solution to y'' + y' – 3y = 4t + 5 Yp(t) = %3D

A:

Q: Advanced Math Question

A: To answer the given question we shall use the following rule. Descartes' Rule: The number of…

Q: Find the formula, in standard form y=ax2+bx+c for a quadratic that has roots at x=4+i and x=4−i ,…

A: If p and q are the roots of a quadratic equation with a leading coefficient of 1. then the Quadratic…

Q: 8. Which of the following are approximate roots of the equation -óx? + 20 = 43x? a x--7.61, 0.44 c…

A:

Q: The initial guesses of the roots are x,-1 = 2.5 and x¡ = 3.5 , what is the next iterative value of…

A: As per the company rule, we are not supposed to solve more than one problem. Kindly post the second…

Q: 1 Solve 1 3D7 for z. y. 1-

A: 1x-1y-1z=7

Q: What are the roots of the characteristic equation: 2s3 + 2s2 + s+1 = 0? O A. -4, -5, -10 O B. -1,…

A: We factor the polynomial by grouping.  Factor out 2s^2 from the first two terms and factor out 1…

Q: 1. y = x?ex + 4e*

A: This is a differential equation problem

Q: 18. Determine the roots of the auxiliary equation of y" + 3y" – 4y' – 12y = 0 (а) —3, —2,2 (b) -3,…

A:

Q: 3 The roots of the equation x -4x+ 9 = 0 ar 1) 2+1/5 2)2t/5 3) 2+1/13 4) 2t 13

A:

Q: If the auxiliary roots of a certain HLDE with constant coefficients are 2, -3, and -3, then the…

A:

Q: Which of the following is a solution of the following equation valid near the origin for x>0? 2x2(1-…

A: There are two solutions , from the given options we choose one of the solutions.

Q: Which of the following quadratics has imaginary roots? (1) x² +3x – 5 = 0 (3) 2x² – 3x+1=0 (2) x²…

A: For a quadratic equation: ax2+bx+c=0, the discriminant is calculated using the formula: D=b2-4ac.…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.