Solve the following initial value problem 2a - 22 +4- t2 -a1 + 2x2 + 1 with a(0) 1 and a2(0) = 0.

Q: 3(4)0* =21

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Q: x

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Q: In Z12, solve (a) x² = 1 (b) x³ - 2x²-3x = 0

A: In Z12 solution of  a) x2 = 1 b) x3 - 2x2 - 3x = 0

Q: 6 Solve for X 3.6.1 2x-17 = 83 3.6.2 5(x+1)= 2(x+7) 3.6.3 4(x+2) = 16+ 2(x-1)

A: as per bartleby guidelines i can solve only first three

Q: Solve | x² – 1|+ (x – 1)2 + /x² – 3x + 2 = 0.

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Q: Suppose that your friend solved the equation (x + 3)2 = 25 as follows:(x + 3)2 = 25x2 + 6x + 9 =…

A: The approach used for solving the equation is correct. We can solve the equation using the approach…

Q: 8) Multiply: (2a-3)(5a + 1) a. 10a²-3 d. 10a²13a-3 b. 7a²-2 e. 10a²-6a-3 c. 7a²-5a-2

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Q: The equation (2x2 – 11)(x* – x² + 5) = 0 - (a) has two (and only two) real solutions (b) has, at…

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Q: 5 -x° + 2x 3 dx .2 x +4

A: Consider ∫x5-x3+2xx2+4dx = ∫x5+4x3-5x3+2xx2+4dx= ∫x5+4x3-5x3-20x+2x+20xx2+4dx=…

Q: Find the general solution of (D4+ 32D²+256) y=0

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Q: Solve (D4 + 2D² + 1)y x cosx +3*

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Q: Which of the following are solutions of the equation (2x - 3)(3x+5) = -14? (A) x = 1/3 and x = -…

A: topic - quadratic equations

Q: What are the solutions to (3x + 1)(x + 8) = 0? O 1/3 and 8 O -1/3 and -8 O-3 and -8 O-1/3 and 8

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Q: Solve the equation In(n²+ 12) = In(-9n - 2) %3D

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Q: If a*b = ab - b/a,  Evaulate: (i)  3 * 6 (ii)   2x ( 3 * 6 )   Solve the simultaneous equations:…

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Q: Solve the equation In (5x + 7)- In (x + 2) = In (2x + 2) - In 1

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Q: 4x³-12x²-x+3=0

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Q: The number of non-negative integer solutions to the equation Y₁ + x3 + x4 + x5 + x6 = 7 is C(7+5-1,…

A: The given problem is to find the number of non negative integer solutions for the given equation by…

Q: Find the solution to the 4x + y = 0 4x+y3D -8

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Q: Solve (x – 2)(x + 1)(x – 4) = 0

A: Question:- solve x-2x+1x-4=0 Here, x-2x+1x-4=0 or we can take it as:- x-2=0 or  x+1=0 or  x+4=0

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: (b) x1 + 2x2 + X3 = -1 X1 + 2x2 - X3 = -1 X1 - 2x2 + X3 = 3 (X1, X2, x3) =

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Q: What is the solution set for x+1/x(x+2)?

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Q: What is the positive solution of x2 – 36 = 5x?

A: We have to find solution for given equation ...

Q: = 3x=6, g(x)=x-12, and h(x)=-2x-5 find each of the follow"

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Q: Is (1, 19) a solution to ys7x-13 y> 3x+ 6

A: Consider the following equations: y≤7x-13y-7x≤-13                                ...... 1…

Q: In(7x – 1)= In(3x + 7)

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: 7. Solve (5m + 4)² 8. Factor 3y- 9y? 9. Solve 3n2 9n

A: In the question we have to solve the given polynomial equations.

Q: 5. Solve -2(x + 1)(x – 4)(x + 7)(2x – 5) < 0 using a factor table. Express your answer using…

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Q: solve the equation 3/x+1-1/2=1/3x+3

A: give equation: 3x+1-12=13x+3 Simplify the above equation…

Q: how do I solve 4x/5-7=x/2+2 for x?

A: The given equation is

Q: 7. Solve for y 3(2y + 8) = 2x + 6

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Q: (3) J -x² + 4x 2 x³ + 4x² + 4x + 3 dx

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Q: Solve 9tan(20) – 3/3 = 0 exactly on 0 < 0 < 2n. л 7л 13л 19л 0 = 12' 12' 12' 12 5л 11л 17я 23л 12'…

A: Given that 9tan2θ-33=0  and  0≤θ&lt;2πSolution :9tan2θ=33tan2θ=339=33=13tan2θ=13…

Q: Solve: 1 (i) x +1 1 1 1 X - 3 x - 1 x - 2 (ii) X - 1 x+ 4 x+2 x +3 - 4 x - 2 x - 3

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Q: 5y(4) + 3y(3) = 0; y(4) - 8y" + 16y y(4) - 8y = 0; +16y = 0;

A: The given equation is, 5y4+3y3=0y4-8y''+16y=0y4-8y=0. Concept- To find the solution to the…

Q: 3. a) Solve (7 + 4x) = (5x - 2) + 2                        2                3   b) (3P)1/2 + M = N…

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Q: 3 x+2 x-3 2x+1 3x-1 2x+1

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Q: 5. In Z12, solve (a) x² = 1 (b) x³ – 2x² – 3x = 0 -

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Q: Given that (3x2+4x)/(2x+9) = 45 Find x

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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.