-2r y=Ae²+ Be -2x-5e- y=Ae-2¹ cos(x) + Be-2¹ sin(x)

Q: sin (t) -dt 3 (4+ cos (t))?

A:

Q: 2x + x2 cos(x) + 1 -dx x2

A:

Q: (sin°(3x) + sin²(3x)) cos(3x) dx

A: We have to find the indefinite integral.

Q: 3dy √1-4y² xdx cos² (x²) 2 4. Solve - 5. Solve - 6. sinx dx secx

A: I am attaching image so that you understand each and every step.

Q: SS cos(x)esin(x)-2y dxdy

A: To evaluate the double integral, first find the integral with respect to x by substitution method.…

Q: 4 sec(8) = find cot(0) 2

A: Use trigonometric rations

Q: Find y' and y". y=2sin4x-cos(8x-1)

A: Let's find.

Q: Solve d²y dx² cot x dy - sin² dx sin² x.y = cos x - cos³

A:

Q: sin (3x+1)dx 4 cos (3x+1) C

A:

Q: Sin(x−6)=Cos(54) What does X = ?

A:

Q: y" - y' - y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: Given :y''-y'-y=cos5t-sin5ty(0)=2 and y'(0)=5

Q: (- + 2 cos 2x ) dx + (- - 2 sin 2y ) dy = x2

A: You have asked multiple questions in a single request. As per our honor code, we will only solve the…

Q: العنوان solve b sin ² (3x) cos² (5x) dx 2 8 tan³x dx >

A: First, we need to identify the type of integral we are dealing with. The first integral is a product…

Q: 1 |Leax sin(bx)] eax [a sin(bx) – b cos(bx)]+ C * Using the formula dx = ах a² + b². Sie [e-8x…

A:

Q: sin(x) + cos(y) 1 + sin(x) cos(y).

A: Given query is to find the dy/dx at x = 0 and y = π/2

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 for y'. y=sin-1[(ax+b)/(bx+a)]

A: Sin-1x can be written as asin(X)   So we have expression as y=sin-1(ax+b)(bx+a) We have to solve for…

Q: instead of cube there is a square in that equation 3(2x-1)2 please solve

A: Given,           ∫2x-1cos32x-12+632x-12+6dx

Q: cscx−sinx cos²x CSC X =

A: We need to prove that cscx-sinxcscx=cos2x

Q: Solve cos(2x) + cos(x) = -1

A:

Q: #1) Solve: 2 cos²x − cos x = 1 on [0,2π) —

A: Given ,  2cos^2(x) - cos(x) =1 on [0,2pi)   Substitute  u  for  cos⁡(x) .  2(u)2−(u)=1…

Q: y(5)_y(3) = e²+2x²-5 y(4) + 5y" + 4y = sinx + cos2x

A: Given: The equations are y5-y3=e2+2x2-5 and y4+5y''+4y=sin x+ cos 2x. The objective is to find the…

Q: Can you express cos(7x) in terms of powers of cos(7x) Start from: cos(7x) = cos(7x) + i * sin(7x)

A: Note:There is a typo error in the question, it should be powers of cos(x) not cos(7x).Given…

Q: If h(x) = In 2x+8 4 x 3 sin x find h'(x).

A: Given :- To find :-

Q: Find , if z= cos(3x² + 7y°) O 2x sin(3a? + 7y³) sin(3x² + 7y³) -9x cos(3x2 + 7y°) -6x sin(3x? + 7y°)

A:

Q: solve  sin(x)dy/dx + ycos(x) = cos(x)[ex + sec2(x)].

A: Convert into dy/dx+p(x) y=Q(x)

Q: 1- (sin (Cos(2x)+Cos (sinc2x)

A: Given derivative