Solve the following linear equation. Check your solution. x - (x – 2) + 7 = 7(x – 8) – 8(x – 7) 1.

Q: 2. Solve the following equations and show the diagram: a. 14x - 5|=7 d. 13x – 5|27 e. r0 3x+1 b. > 3…

A: As per the company guidelines we are supposed to answer only the first threesuparts. Kindly repost…

Q: Determine whether the given equation is linear. 1+1 x +1 O linear not linear

A:

Q: Q2\ Solve the following 2y + 3y' – 2y = te-2t y(0)=0 and y'(0)=-2

A: Please see the explanation below

Q: The equation y² = cx is the general solution of

A: We have to find the differential equation.

Q: Find a value of n such that y = (x^n)(e^x) satisfies the equation xy' = (x-20)(y)

A: given,     y = (xn) ex satisfies the equation xy1= (x-20) y

Q: The linearization of y = (6x- 11)2/3 at a = 2 has the form L(x): = mx +b, Find the values of m and…

A: We have to find out

Q: - Find the linear equation that satisfies the following: f (3) = 10 and f(5) = 24 %3D I

A:

Q: Solve the following nonlinear equation You choose the method f(x) = 54x + 45x* – 102x* – 69 + 35x² +…

A: Given function fx=54x6+45x5-102x4-69x3+35x2+16x-4 and derivative f'x=324x5+225x4-408x3-207x2+70x2+16…

Q: (D² + D)y =x+| ;

A:

Q: Find the particular solution of x?y"+ xy' 13; y = 0 and y' = 1/2, when x = 1.

A:

Q: Q1: find the complete solution of the following: 1. y" + 4y' + 4y = x2 e-2x

A: Given equation- y''+4y'+4y=e-2xx2 Auxiliary equation- m2+4m+4=0m+22=0m=-2,-2

Q: Solve the given linear equation. 6k + m = 9k + n k = ?

A:

Q: The solution of (D² – 4D+13)y 0 5 2x (A eix . Be Jox (A ex + Be)

A: D2-4D+13y=0 The auxiliary equation is m2-4m+13=0 ⇒m=4±-42-4132⇒m=2±3i

Q: y + y = T+?" 1+ 12°

A: In this solution i got a critical integration which term i have conclude with a integral sign

Q: Reduce the following D.E. to the linear form, then solve it

A: Introduction: When a differential equation is written as dydx+Pxy=Qx The equation is classified as…

Q: solve this linear equation using gauss seidel x+ y−z=0 2 x−3 y+z=1 2 x+ y+2 z=7

A: The given equations are; x+ y−z=02 x−3 y+z=12 x+ y+2 z=7

Q: Solve the following first-order equations: d = 4x/y, with y(0) = 1 a.

A: Using variable separable form. According to Bartleby rule I am supposed to solve only first example.…

Q: - Solve the equation z = x² + xy² when x = = 0, zz = y³ and when x = 2, z = y.

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Q: Find the General Solution y' = 1+3ytanx

A:

Q: Find the general solution of the following: 7. (D³ – 4D² + 4D)y = 0

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Q: Solve the following equation for r. V2 73- 4

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Q: In the given question , find d2 y /dx2 implicitly in terms of x and y:-   x2 y - 4x = 5

A: Given: x2 y - 4x = 5 Now differentiate with respect to x we get,…

Q: Q2/ Classify the following equation as linear or not, and if not, what type of linearity it is: –…

A:

Q: Solve the following equation for t.    3e2t = 15

A: Consider the equation 3e2t=15

Q: Solve using the chain rule f(x) = 6/2x – 5 12 A. 6V2x- 5 В. 2х-5 6. C. 12x/2x –5 С. D. V2x-5 - O A O…

A:

Q: On the first day that Josie had her phone, she received 5 text messages. Over the next several days,…

A: The objective is to find the number of text messages, t, Josie received on day d of having her…

Q: y" + 6y' + 8y = 3e-2# + 2x

A:

Q: x²y – xy² + y² = 7

A:

Q: Find the general solution Ans. y=(C1+C2x)eX+e*

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Q: x y' -2 y = 4 x Vy

A: Let us consider the liner differential equation dydx+P(x)y=Q(x) then to solve the equation…

Q: Solve the following D.E : 9y"-12 y'+ 4y =0

A: solution isy = (c1+c2x) e23xexplanation is given in the below step

Q: d²x (d) d? dr + 11- dt + 30x = 8t

A:

Q: a. Obtain the general solution of the following i. (4+x)y'= y³

A: Solve the differential equation using variable separable method. According to Bartleby answering…

Q: y(x) =xr,  with r satisfying r2 + (b - 1) * r + c = 0, it's the equation solution of x2 y''…

A:

Q: Find the complementary solution: (D^3+D)y=x

A: QUESTION- Find the complementary solution:   (D^3+D)y=x

Q: Which of the following is the general solution of the DE y" = 12x? a. y-x*- Cx + C b. y-+ Cx + C c…

A:

Q: Solve the equation for y: ax + by = c

A: We have to eliminate the term 'y' and thus we get the solution.

Q: Q3: Solve the D.E_XỲ+Y=. XY+Y= 7/2/2 y2

A: The given differential equation is  XY'+Y=1/Y2

Q: Find the general solution by substitution or elimination Q6 A: * = x -2 y +t — х —у+2t dt

A: The system is x'y'=1-21-1xy+t2t Obtain the eigenvalues: A-λI=01-λ-21-1-λ=0-1-λ2+2=0λ=±i The solution…

Q: Find the general solution of the following 1. (D² – D – 2)y = 0 %3D

A: To find- Find the general solution of the following: D2 - D - 2y = 0

Q: Find the equation for the general solution y²= cx

A:

Q: Q5 Suppose the equation y" – 4y' – 5y = f (x) has y = 3x' as a solution. (b) What is the general…

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Q: (a) Solve the following linear equation by Cramar's rule:- x - y + 2z = -4 Зx + у — 4z %3 -6

A: # We are entitled to solve one question at a time, please resubmit the other questions if you wish…

Q: Solve the exact equation (3e3ty− 2t)dt + e3tdy = 0

A: The differential equation is given as (3e3ty-2t)dt+e3tdy = 0 Compare it with Mdt+Ndy  = 0 Hence M =…

Q: An initial population, p, of 1000 bacteria grows in number according to the equation 4t p(t) =…

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Q: Irite down the solutions to the following linear difference equati 3.1) P(n +1) = -P(n), 6.2) P(n +…

A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Solve the following linear equation using equlvalent equations to isolate the varlable. Express your…

A: Given:- -14+8 = 6x-9x To find  Value of x

Q: find the solution of y''-2y'=x - e^3x

A:

Q: Explain how to solve the below equation step by step:    T = { m E Z | m = 1 + (-1)^i, for some…

A:

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.