If yo is the particular solution of dy 4x°y, y(0) = 3, %3D %3D dx find the value of yo(2).

Q: If i*** =i, where i = -1, then which of the following is a solution for x?

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Q: The solution of x in the equation mx + 5 = t + kx is ... A B C D x= x: || X= t +5 m-k m-k t-5 t-5…

A: we ahve to slove above question

Q: 2 31) Solve the equation for x: (x – 7)5 = 9

A: Consider the equation

Q: Find the general solution 2 y² + 3x²³ y=0

A: What is General Solution of ODE: The general solution of an ordinary differential equation is a the…

Q: 411-41 r PV = C - (1+r) ease make r the subject -n-

A: Please see the below picture for detailed solution.

Q: (a) Show that y = C1 + C2 2ª – k is a solution of ya+2 - 3ya+1 + 2y% = 1.

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Q: a. Calculate the discriminant.b. Determine whether there are 0, 1 or 2 real solutions tof (x) = 0

A: We know that, for a standard equation of quadratic is given as  ax2+bx+c=0          ⋯⋯1 The…

Q: 7. Find the value of t. D (6t - 12)18 - 4t)"| A E B

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Q: 10е 3" (1 — 5t) — 0

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Q: How can we conclude the below Equation? If P ≤ α, we reject H0.

A: Introduction: Here, P denotes the P-value of the test, and α denotes the level of significance at…

Q: Given cost and revenue functions and C(q)=115q+43000 and R(q)=−3q2+3000q​, how many items must the…

A: Given query is to find the numner of items needs to be produced fo break even.

Q: In a learning experiment, a subject is first given x minutes to examine a list of facts. The fact…

A: We are given S(x,y) = x2 + 5xy + 15x – y2 + 3y + 25. Calculating ∂S∂xand ∂S∂y ,   ∂S∂x=2x+5y+15 = Sx…

Q: If y=1 What is the value of 2y+y+7y/y-2

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Q: 4. In the following equation, solve for x in terms of c. logs (x) + logs (8c) = 2

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Q: Determine whether the equation x² + 1 = 0 has a solution in F3.

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Q: Find the general solution of the following 17. (D² + 49)²y = 0

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Q: Find the solution(s) to the following. (x-4)(2x – 3) = 0

A: Given that (x-4)(2x-3)=0   We will set each factor equal to 0. So, x-4=0 or, x=4

Q: If yo is the solution of the equations xy' + 3y = x, y(1) = 2, %3D determine the value of yo(2).

A: Given a first-order differential equation,                             .....(1) condition  y(1)=2

Q: the set of solutions of X2-X-6%3D0 is

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Q: B = . [1 2] c=2 c = ; If A = 3 4 %3D II. And X = [x3 x4] Solve each of the following equations: 1.…

A: Given, A=1234, B=3110, C=1224, X=x1x2x3x4

Q: If g(x) = 4x* – 3x² + 2x – 2 , then g) A. 글 -3 В. 2 C. D. 5 2 Е. 3 2

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Q: 2. Solve the following equations for x. It may help to make up an equation with numbers and solve it…

A: 2) (a)   a(x+b)-c =dax+ab-c=dax= d+c-abx = d+c-aba(b)  e(x+c)b =2e(x+c) = 2b(x+c) =2bex = 2be-c(c)…

Q: c(r + y) = 72y + 67 y =

A: Given: c(r+y)=72y+67

Q: Find the general solution of each of the following: j + 2ý + 10y = 0 t°j – 3tý + 4y = 0, for t> 0

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Q: 三一 (b) y + 65 +9y-4-12e-3#

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Q: Compute for the following equation: ax x2 + y? + z? = 3xyz

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Q: (Given the equation in the picture). If q is 5 less than p, then the correct answer is ... (A) x is…

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Q: Algebraically solve for x: 7 2x x + 1 4

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Q: 2 =[41] −1 4 If A = find (AT)-¹.

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Q: if (r- 1) yf – y ==? (r – 1) then 4 y (2) – y(-1) = 6. 2 4

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Q: Find the particular solution of

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Q: Show that the equation 2³ + 3y3 = 923 has no solution in integers, other than x = y = z = 0.

A: Suppose that, x3+3y3=9z2 has a non-trivial solution, that is other than (0,0,0), and minimal.

Q: (x – 1) (x – 2) = 12 ng a – 1 = 12, so x = 13, or æ – 2 = 12, so æ = 14. Is your friend correct?

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Q: 3. Which of the following is the solution set of the equation 4x – 12x – 19 = 0 ? 5 (1) ±V3 (3) +v7…

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Q: For which value of c below will the equation x² +3x +c = 0 have only one real solution? (1) c = 0…

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Q: Which of the following is not an equivalent equation to 3x - 4y + 1 = 0? A B 4y-3x-1=0 C y= 3 1 4…

A: Let's find not an equivalent equation to 3x-4y+1=0.

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.