32 + ar – 10x - br + c (r - 1)(r+2)2

Q: 7. Find the solution of the DE: (D? + 9)y = x+e2 using method of undetermined coefficients.

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Q: 7) Given the equations: X = 10 + 2t2 and X= 100 + 3t – 4t² find all solutions for x and t.

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Q: 8. What is the particular solution of 2xyy' =1+ y², when x = 2, y = 3 ? C. y =V5x +2 d. y =3x – 4 a.…

A: Given differential equation 2xyy'=1+y2, when x=2,y=3. The objective is to find the particular…

Q: 6. Find the particular solution of ydx – 4xdy = y6dy; where x = 4 and y = 1.

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Q: Find the general solution of (D² - 5D + 6)y = 4eˉˣ

A: Given: The equation is D2 - 5D + 6y = 4e-x.

Q: Obtain the general solution. 1. (D^2 + 9)y = 5e^-x  -162x

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Q: C) (2)'y(-1) = 0. n Find the general solution of o (:) (2)*y(n-i) =

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Q: What is the solution of -10 ≤3x+5≤8 E+ ³x 8-1x T+X

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Q: A. Obtained the general solution. E... 10. (D² – 3D + 2)y = 3x²

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Q: 4 Solve for the general Solution : 3x²ydx + (y* – x³)dy – 0 Select the correct response: ,3 4. O x°…

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Q: 6. Find the general solution to y" – 6y" = 3 – 6e2z

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Q: The general solution for the DE -v=2e3x is given by e. None of these 3 O a y= Ce*+C2e*+ 4 Od…

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

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Q: If y = e5t is a solution to y" + k y' - 20y 0, what is the value of k? %3D (а) 1 (b) -9 (c) -1 (d)…

A: given that                                                       y=e5t we have to find value of k…

Q: (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1

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Q: A bicycle company finds that its average cost per bicycle for producing n thousand bicycles is a(n)…

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Q: Q(4) Find the general solution of dy =(r- y+ 5). dr

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Q: 11. (D- D)y = 0.

A: As per our guidelines only one question can be solved. Please find the solution for Q no 11 below:

Q: y The solution of y' = 6, y(0) = 2 is 10+x X +x² + 20 (A) 60x + 3x? + 20 (В) 10+x 10+x 3x? (D) +60x…

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Q: 10. The general solution of y"+4y = 6e2" + 4 sec? 2x is:

A: 10. To find the general solution of the given differential equation in (10), first we find yh which…

Q: 5(a) Find the General solution of the Diffe -3x (D² + 6D + 5)y = e 3" (1 – 2sin²x) ||

A: Explanation of the solution is given below....

Q: 4. Obtain the general solution (D + D - 9D - Dy = 6e - X 3x + 3xe

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Q: 3. PDE r + a²t = 0, has the solution :

A: A partial differential equation is given as r+a2t=0. The objective is to find the solution of the…

Q: 4. Obtain the general solution alo? - y? - ») dk - y(x? - y?) ay = 2 = 0 |

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Q: S 2x + y = 0 | 3x – 4y = – 19 2 I| O Yes, this is the solution. O No, this is not the solution.

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Q: Select the solution(s) of =1- a +3 T = -5 x = -1 T = 3 r = -4 x = 0 x = 4 T = -3 x = 1 T = 5 I= -2 I…

A: The least common denominator of all the fractions in the equation is . We need to multiply to both…

Q: What is a solution of the first order equation Y (K+1) = Y(K) +5 ? Ans: y(K) = 20+5k

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Q: The particular solution of xyy' = (x² + y²) when x = 1, y = 2 is a. y2 = x² In x² + 4x² b. y2 = x In…

A: Given:- xyy'=(x2+y2)  To find:- Particular solution of given differential equation when x=1 and y=2

Q: If y= e2r is a solution to y"-5x+ay 0 then a = Select one: a. -2 b. -6 С. 6 d. 2

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Q: Q(5) Find the general solution of (r+2y- 4)dr - (2r +y- 5)dy = 0.

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Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

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Q: 2. Find the general solution of d'y -6 da dr +12 - 8y = 21e2 da

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Q: A Find the general Solution of y"ty=2xcorx -Cosx %3D

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Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

A: Given data,y''-2y'+1=0We have, (D2-2D+1)y =0The auxiliary equation is m2 -2m+1 =0 ⇒m= 1,1When the…

Q: 5. A correct step in the solution of the equation V2m+1-2 = 1 is O A. 2m + 1 = V3 O B. (2m + 1)–16 =…

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Q: What is the solution of 2r (y + 1) dr ydy 0 when z = 2 and y= 0 ? In(y +1) + 4 1- In(y+1) +3 In(y+1)…

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Q: 4. Find the constant a so that Ø(x) = xe2x is a solution to y' + ay – e2x = 0 А. 4 В. 1 C. -1 D. -2

A: We have to find a

Q: The solution to the DE y' - 5y = (x2)(ex) - x(e5x) contains a term k(x2)(ex). Determine the value of…

A:

Q: 13. Solve for X in the equation, given A- and B- (a) W+ A- R (c) X- 3M + 28 =0 (d) 6X - 44 - 38 =…

A: I have used the rule of matrix addition

Q: 4. Solve (x-2)y" - (4x-7)y' + (4x-6)y= 0, if y₁ = e2x is one known solution? HO The Cystem 2e²t

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Q: 3. Use variation of parameters to find a general solution, for x > 0, of x*y" – 3x?y" + 6xy/ – 6y =…

A: The given differential equation is; x3y"' - 3x2y" + 6xy' - 6y = x2

Q: Solve for y. P(0)=(-12/37, y), P(0) is in Ql

A: Given P(θ)=-1237, y and P(θ) is in Quadrant 2.

Q: Obtain the particular solution of (3x² – 2y²)y' = 2xy when x = 0,y = 1. a. x2 = 2y² (y + 1) c. x2 =…

A: Let's find.

Q: he general solution to an IVP is y = k exp(-2t)+2. Find the value of k needed for it o satisfy the…

A: As y(0) =10 Then t=0 and y=10 10=k exp(-2(0)) +2 10=k(1) +2 10-2=k

Q: 3x+xy? when y(1) = 3. y+x?y Find the particular solution of y'

A: First order non linear ordinary differential equation, solving by separating the variables.

Q: Find the general solution of  (D^4+D^2)y=3x^2+4sin(x)-2cos(x) using method of undetermined…

A: The question is solved by using method of undetermined coefficients.

Q: 2) Gr. Find a solution for the BVP: y" + 49y = 0, y'(0) = -3 and y') = 3. %3D

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.