The non-homogenous solution of the following equation by using variation of parameter method y" + y = cscx Is given by C₁ cos x + C₂ sin x O Option 1 sin x (In|sin x)) - x cos x

Q: Find a result by using undetermined coefficients for ý + y = x² + x+sin(2x)

A:

Q: Differentiate y = sin (x 2)

A:

Q: Q4// Find the value of csc(sec-1 2) + cos(tan=²(-V3)).

A: Here  given as Use some trigonometric formula as

Q: L(e-3t (2 cos 5t-3 sin 5t)) 20

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: QI) Show that: (a) (1+x)° =1+6x (b) (cosx) = –sinx dx

A: 1.  a  1+x6≅1+6xb  ddxcos x=-sin x

Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

A:

Q: Differentiate y = (-6+sinx)/(x+cosx)

A:

Q: 2 + sin x Differentiate Y x + cos

A:

Q: Solve the equation (r + sin x - cos x) dr + r(sin x + cos x) dx = 0. %3D Select one: O a. r^2 + r…

A:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: Solve cosx dx + (sinx)y=1 Select one: O ay sinx + ccosx O b. y = 2sinx + 2cosx + c O c. y = sinx –…

A:

Q: A particular solution of y" + y =sinx + xcosx a. x?sinx - 2xcosx) 4 b. (x?sinx – xcosx) 4 c. (x?sinx…

A:

Q: Construct an equation such that y = = C1e3z cos x + C2e3ª sin x is its general solution.

A: To determine the differential equation from the solution  Check the number of constant in the…

Q: Find y' , for y=Sin-1(Cos√x)+Cos-1(Sin√x)

A: The solution for the above question is as shown below.

Q: Solve: cos 2x - sin x = 0, 0 ≤x <2π.

A:

Q: 2) y = sin(3x²ex)

A: Find the derivative

Q: Ir x²y" + xy' + (x? - +>v =0 x >0 || | 1 - 2 sinx ,V1=X the following equations satisfied by v and y…

A:

Q: Which of the following equations can only be solved using parameter variation method? ay +9y sin…

A: Choose the correct options from below.(a) Let us consider the given differential equation, .The…

Q: Solve the Bernoulli's equation given below: dy 2 dx -y cot2x = y' csc2x O A. [(y )^(- 2)] sin 2x = -…

A: Use Bernoulli theorem to solve

Q: If x*y" + xy' + (x? - y= 0 x >0 ,V1=x 2 sinx 3D0 and y =y,v. Which of the following equations…

A:

Q: Find JO cos²x - sin²x sinx + cos dx Please show your method.

A: