(2) Determine k such kx² – 4x +- = 0 that has real and different solutions.

Q: ,0<x<3 If X has p.d. f. f(x) = . o.w. The probability that the quadratic cquation 4t2 + 4tX + X + 2…

A: Compare the equation 4t2+4tX+X+2=0 with the standard form of the quadratic equation ax2+bx+c=0, to…

Q: Prove that there are no integer solutions (x, y, z, w) to the equation x³ +y³ 3z²+9w² +3. =

A: The given equation is x3+y3=3z2+9w2+3. We have to prove that there is no integer solution to the…

Q: 1 1. Solve the rational equation x - x - 6 x- 3 x +2 and state any NPV's.

A:

Q: Find the real valued general solution of y" + 5y = 0. %3D

A:

Q: determine k such kx2 - 4x +1/2 = 0 that has real and different solutions

A:

Q: -X - 2xe 73Xs =l =10. %3D Jordan elimination

A: Topic :- Matrix

Q: Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁)…

A: We will use contradiction to prove it.

Q: (2) Determine k such kx - 4x+ = 0 that has real and different solutions. 2 %3D

A: Note: We'll answer the second question since the 2nd one is specified. Please submit a new question…

Q: (a) First find the general solution of y" – 5y + 6y = 2e* (3) by using the Undetermined Coefficient…

A: Introduction: A higher-order linear non-homogeneous differential equation has two solutions. One is…

Q: Axk + 2xk + k +1 = xk+1 + xk + k +1 = 0. cion to the last equation is %3D

A: Given, let the function f be equal to△yk2; therefore, equation (6.52) becomes…

Q: Find a general solution of y"- 2iy'+3y= 0.

A:

Q: - 3)²y" (x) - 3(x-3)y'(x) + 3y(x) = 2(x-3)^e², x > 3. Verify that y₁(x) = (x-3)³ is a particular…

A: Given the differential equation: x-32y''x-3x-3y'x+3yx=2x-34ex To find the solution of above…

Q: 11.2) SOLVE : 5x²y" + x (1+x) y ² - y = 6 by Frobenius Method

A:

Q: ΣΕ (2) k%3D1

A: Answer

Q: 18x- 2(3x + 1) = 5x – 16; Prove: x = -2 %3D

A:

Q: if y3 -3ax2 +x3 =0,then prove that y2 + 2a2 x2 y -5=0

A: Our objective is to prove y2 + 2a2 x2 y -5=0 if  y3 -3ax2 +x3 =0. But note that when a=0 and x, y=3,…

Q: Q 4. (a). Show that fog = 4x² – 1, if ƒ(x) = 4x – 5 and g(x) = x² +1.

A: a. Given: The functions fx=4x-5 and gx=x2+1, To find: f∘g=4x2-1, Formula used: (f∘g)(x)=f(gx).

Q: max st. 2x, + X2 < 20

A: The given LPP is  max Z = 3x1+2x2+5x3subject to 2x1+x2≤20x2+3x3≤30x1+x2≤25x1,x2,x3≥0 Adding the…

Q: Find the 4 - x' -x²(4 – x²) = 2 i5 (4 - x*) + C 3 x²(4 – x²) 5 3 15

A: Please see the solutions below.

Q: 9. Find the general solutions of X' = AX with A =

A:

Q: Q(2): Find the general solution of x³y" – 3x²y" + 6ry' – by = xª In x. %3D

A:

Q: 1 Determine k such kx -4x+==0 that has real and different solutions.

A: A quadratic equation ax2+bx+c=0 has real and different solution if b2-4ac&gt;0

Q: Find general solution of U" + U = 0.

A: Given differentiation equation is U''+U=0. We have to find the general solution of the given…

Q: What is the largest number k for which 2x + 3y = 20 and 3x + 4y = k have the same number of positive…

A: Given: 2x+3y=20...............eq(1) 3x+4y=k..................eq(2)   To find:What is the largest…

Q: determine by inspection at least two solutions of the given first-order IV . 16. xy-  2y, y(0) …

A:

Q: 1. Determine all possible solutions of ²u ex² = d²u oy ² by using variable separable method. 7

A: The given problem is to solve the given partial differential equation by using the method of…

Q: 2 Find the limit infimum and supremum of 2 XA = √√√ 1+n² √1tn 2A-5 write the complete solution.

A: Limit infimum and limit suprimum

Q: if y3 -3ax2 +x3 =0,then prove that y2 + 2a2 x2 y-5=0

A:

Q: then the ² u - y² is მყ2

A:

Q: if y3 -3ax2 +x3 =0,then prove that y2 + 2a2 x2 y-5 =0

A: Given : y^3 - 3ax^2 + x^3 = 0

Q: Verify that z 2 + 4i is a solution of z2 + 6z - 40i = 0. Is 2+ 41 also a solution?

A:

Q: 3. Verify that 3e 2x + 4e* is a solution of the y"-3y'+2y=0.

A: We have to verify if the given is a solution to given differential equation or not.

Q: If k(x)= 2e^2x then k''(2) is equal to

A: Given  k(x)=2e2x To find  k''(2)

Q: (2) Determine k such that kx – 4x+=0 has real and different solutions. 2

A:

Q: (7) Find the general solution to y = (x +y + 1)

A: Given differential equation is: dydx=x+y+1 Let us assume x+y=t 1+dydx=dtdxdydx=dtdx-1…

Q: Find the positive integers m such that t2x"+tx'+(t2-m²)x = 0 has a nontrivial solution such that x…

A:

Q: Suppose that X is a (A = e-100, p = 3e-100)-BCP. %3D What is P(X(1)X (2)X(3) = 4)?

A: Correct answer is 4.

Q: 1. Show that y = c,x1 + c,x³ is a family of solutions of x?y" - xy' - 3y = 0.

A:

Q: Determine k such that kx^2 - 4x + 1/2 = 0 has real and different solutions

A:

Q: Find the general solution to the homogenous DE y'-16у' + 64у %3 0

A: The given homogeneous DE is y''-16y'+64y=0. The auxiliary equation is m2-16m+64=0.

Q: 3. A polynomial of degree n 21 has exactly a zero of multiplicity m is counted m times. zeros if

A: To fill in the blanks where statement is A polynomial of degree n≥1 has exactly ......... zeros if a…

Q: f (2) 2. Find if Ar) -(1-x²)(* -1) =

A:

Q: Find the critical number of f(x) = 3x^2 - 18x + 4

A:

Q: (2) Determinek such kx - 4x+- =0 that has real and different solutions.

A:

Q: Find the general solution. 6y(4) + 7y" – 12y" – 3y' + 2y = 0 SHOW WORK.

A:

Q: Prove that the equation Z = 1 has no ++ solutions in positive integers x » Y, Z.

A: Assume some value and substitute it many times taking different domains like integers, whole numbers…

Q: 3- Prove that y=x is a solution of (x³ + 2x?)y"+ 2xy'- 2y = 0 and hence find the general

A:

Q: Verify that yp = 3e2x is a particular solutions of y" − 6y′ + 5? = −9e2x .

A: Explanation is given below...

Q: 2. Find a quadratic spline function having the nodes -1,0 and 1, and satisfying the table -1 0|1 5…

A: This question is about application of numerical method to obtain quadratic spline