If y=C,cos2x + C,sin2x+2sinx is the general solution of a certain nonhomogegeous LDE, which of the following is also a solution? A y=2sinx By=C,cos2x +C,sin2x 9 y=C,cos2x (D y=C,sin2x E none of the given choices

Q: What is the particular solution of the function 2²e%z sin 3x? O (Aæ² + Ba + C) cos 3z + (Ea² + Fx +…

A: NOTE: Refresh your page if you can't see any equations. . now consider only   for that, the…

Q: If y=C,cos2x +C,sin2x+2sinx is the general solution of a certain nonhomogegeous LDE, which of the…

A:

Q: What is the particular solution of (D' + 4D² – 1)y = 44sin3r O a. sin2z O b. sin3z O c. cos2z O d.…

A:

Q: What is the solution of the D.E y"-3y' = e* sinx when solved using the method of undetermined…

A: Solution is given below:

Q: Find the general solution of y(4)+y'' = 3t2+4sin t-2 co

A:

Q: Under what conditions on A and B does the B.V.P x'y" - 3xy' +3y = cos x, solution, no solution ,…

A: Given equation is, x2y''-3xy'+3y=cosx Take the homogeneous term, x2y''-3xy'+3y=0 Take y=xn,…

Q: What is the solution of the D.E y" -3y' = e* sinx when solved using the %3D method of undetermined…

A:

Q: This is the solution of the Cauchy - Euler equation xy" + 5xy' + 20y = 0 %3D O y = C1x4 cos(4 ln(x))…

A:

Q: 4 A. 1 B. 2 C. 3 D. 4 If the correct answer in (2) is equal to -, how many case/s is/are possible? 5…

A:

Q: The two parameter family of solutions of the DE: y" + 25y = 0 is y = c1 sin 5x + c2 cos 5x. Then,…

A:

Q: I. Write down the form of the particular solution for the g(x). У" + p(x)у' + q(x)у — 9(х) 1. g(x) =…

A:

Q: Which of the following is a possible solution to y" + 16y = 0 O y = tan(4x) y = cos(2æ) O y = sin x+…

A: SOLUTION IS GIVEN BELOW

Q: The particular solution of the following equation by using the method of undetermined coefficients 2…

A: A detailed solution is given below.

Q: Given that y, = 5 cos t is a solution to y"-y'+y = 3 sin t, and y2= 5 e2t is a solution to y" -y'+y…

A:

Q: What is the particular solution of (D4 + 4D² – 1)y = 44sin3x O a. cos2x O b. sin3x O C. sin2x O d.…

A: Topic- perticular integrals of differential equations

Q: What is the general solution of (sin 0 – = 0 ? 2rcos? 0) dr + rcose (2rsind + 1) do O sin 0 rcos e =…

A:

Q: The set of solutions of y = -2e-* – 12 cos(4x) + 2 is given by: a) O 2e-* + 3 sin(4x) + 2x + C b) O…

A:

Q: The auxiliary roots of the auxiliary equation associated with a certain HLDE are m=±3, ±3i, + 3i.…

A:

Q: The particular solution of the following equation by using the method of undetermined coefficients 2…

A:

Q: what is the general solution of y''+4y=cos(2x)

A: Given: y''+4y=cos(2x)

Q: The particular solution of the following equation by using the method of undetermined coefficients 2…

A:

Q: The special solution to the equation * (D²-3D+4)y(x)= 4sin(2x) Y,(x) = Excos(2x) у, (х) cos(2x) -…

A:

Q: 3) Solve For OsO<2M VZ COS O + 2öin20=sin 20

A:

Q: What is the particular solution of the function 2xe3 sin 7x – 8x?? O Aa? + Bx + C + Exe3, cos 7x +…

A: NOTE: Refresh your page if you can't see any equations. . . the second function is  which is a…

Q: 5. In determining the particular solution to 2x" + 3x' = 3 sin(1), you must solve 2(-M sin(1) - N…

A:

Q: When the general solution of y" + 4y = tan2x is written as y = U(x)cos2x +V(x)sin2x , then which of…

A:

Q: If y=C,cos2x + C ,sin2x + 2sinx is the general solution of a certain nonhomogegeous LDE, which of…

A:

Q: Match the following guess solutions yp for the method of undetermined coefficients with the…

A:

Q: 5. In determining the particular solution to 2x" + 3x' = 3 sin(t), you must solve 2(-M sin(t)- N…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: If y= x2 sin 2x, then y = А) 2х cos 2x B 2x (sin 2x - x cos 2x) C 2x (sin 2x + x cos 2x) (D) 4x cos…

A:

Q: day Find y, of 2+ + 6y = 51 cos 3x. ... a.) y, = - cos 3x + 4 sin 3x b.) y, = cos 3x-4 sin 3x c.) y,…

A:

Q: S sin²x cos²x dx 1 sin 4x + C 32 O A none of the choices 1 1 ;sin 4x + C 32 8*+3, sin 4x + C O B

A:

Q: Find the particular solution : y" + y' + 4y = cos3x 3 5 3 5 (a) cos3x -; sin3x (b) Yp = cos3x -…

A: Proceed as shown below...

Q: What is the solution of the D.E y" - 3y' = e* sinx when solved using the %3D method of undetermined…

A:

Q: _13. If y = sin(4x – 5), then what is y'? а. у'3 сos (4x -5) b. у'- 4cos (4x — 5) c. y' = -cos (4x -…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: if we use the method of the undetermined coefficients, the particular solution of the following D.E…

A: Here we will evaluate the required value.

Q: 4. Consider a3(x)y"" + a2(x)y" + a₁(x)y' = 0 (a) What's one trivial solution? (b) Suppose the…

A: Please see the attachment

Q: Find all solutions to the equation: [sin(x)+ 1]2cos(x)-3]=0. Зп + 2nk, x = + 2nk, x = 11m + 2nk,…

A:

Q: Which one of the following functions is a particular solution of y" + 2y + y = 25 cos(2t) ? 4…

A: First option is correct.

Q: The set of solutions of y' = -2e-* – 12 cos(4x) + 2 is given by: а) О 2е + 3 sin(4x) + 2x + C 3 b) О…

A: Note the integration of some functions: ∫eax dx=eaxa+C ∫cos ax dx=sin axa+C ∫xn dx=xn+1n+1 +C ;…

Q: x²e* is a solution to y" – 2y' + y = 2eª, and y2 to y" –2y'+y = 2 sin x, then the general solution…

A: Given, y'' -2y' +y=3ex-sinx

Q: Find the general solution Solution 8. y= c, +c, cos 2x+c, sin 2x- 7 e* cos 2x+ 85 6. e* sin 2x 85 8.…

A:

Q: Differential Equation Activity

A: To find the general solution of the given differential equation

Q: What is the particular solution of (D4 + 4D² – 1)y= 44sin3x O a. cos2x O b. cos3x O C. sin2x

A:

Q: What is the general solution of sin 0-2rcos²0) dr + rcos0 (2rsind + 1) de = 0 ? %3D O sin 0 rcos²0…

A: Given differential equation is: sinθ−2rcos2θdr+rcosθ2rsinθ+1dθ=0

Q: Which of the following is a particular solution of the equation y"-16y' +66y=e * sin8x? O a. y=…

A:

Q: What is the solution of D.E y" – 2y' = e*sinx when solved using the method of undetermined…

A:

Q: Show that an implicit solution of 2x sin?(y) dx - (x2 + 17) cos(y) dy = 0 is given by In(x? + 17) +…

A:

Q: Consider the D.E. y^ + 4y" = 1– cos(2x). Then a suitable form of the particular solution can be…

A: We need to find the suitable form of the particular solution of the differential equation. We will…