2ク • *ý-4xý +6y =-X sinx 3 2. Ans y= C,X +C2 X+X Ssinx

Q: y +5y' +6y = 4e"+5 sinx

A: Given :-  y'' +5y' +6y = 4e-x +5sin x

Q: y" - 4y = (x2 - 6) sin(2x) %3! y(x) = %3D

A: Solution

Q: Q: Find fo 1- y = tan/2/2x + 7 (x² +x)(x² -x+1) 2- y = x*

A:

Q: ax -bx -cos mxdx, a>0, b>0

A: note : As per our company guidelines we are supposed to answer ?️only one question. Kindly repost…

Q: a1/ ý+2Í + 27 = 8 x' e¯X sinx %3D

A:

Q: 2Cos3xSenx +Sen2x Simplificar: E= %3D 2Cos7xCos3x- Cos10x

A: Given E=2cos3xsinx+sin2x2cos7xcos3x-cos10x To simplify this the identities used are…

Q: 2005 X+y Sin X-y 2. 2.

A: Trigonometric identities help to find the simplified form of the given trigonometric expression.…

Q: sinx If Ax) = 2**, find f'(0). A 2 cln2 D1

A:

Q: 34. dyldx = 2(3x + y)² – 1; when x = 0, y = 1 Answer: y = tan (2x + a/4) – 3x

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the…

Q: (3x sinx)' = O A. 3x 1 sinx +3x ? cosx В. 3x ² sinx +3x cosx С. 3х sinx + cosx D. 3x sinx +3x cosx…

A: Please refer the attached image for complete solution.

Q: 4. Differentiate the following. Justify every step. Simplify your answers. (3x²-s)* y = T6x+i (ii)…

A: Given: ii y=3x2-556x+1iv y=x2cos x3  To Find: Differentiation of the given expressions

Q: R0)-3X+Sinx -e* , Xo- o, Gd lisk o of ad root where Tol - 10-3 usng nemfous

A:

Q: Cosxdx+(1+2 /y) sinxdy =0

A:

Q: y" – 3y' - 4y = 3ez* у" - Зу'- 4у 2 sin x

A:

Q: a) y = 2cos?t+2 ; x=(r* +3)' b) y= 5te" ; x=4e c) y=(3t sin 3t – 1)* ; x= 612

A:

Q: x²y'+2.xy = sinh(3x)

A:

Q: Q3. Evaluate ". -2n sin²0 de 5+4cos0

A: To Determine :-  ∫02π sin2 θ5 + 4 cos θ dθ

Q: 5. y= 3tan 2x+ tan³2x 6. y=tant 5x 7. y= csc*x – 2cot?x 8. y= 3tan 2x + tan³2x

A: We have to find derivative

Q: Y"-2y'+2y=e^2x(cosx-3sin) by using variable coefficients

A:

Q: Evaluate: dx 9-x2 A sin 9-x2 +C B) +C (9-x?) V9-x

A: To find:∫19-x2dx

Q: Solve : 7tan³x – 21 tan x = 0 π 2π 4π 5π A B., T, c. D. 0,T, IT, 3'3 3' 3 7π 5π 6. 3 O A Ов O c OD

A:

Q: 3 dy Зу =-sin -1 2 - sin +C V4-9y2 3 A) True B) False

A:

Q: (D² (D2 - 4D + 3) x 4 sin (t) + 2 cost) when ヒ= 2 II 4

A:

Q: y = ), Bind X+3 Q4l y= (Sinx) (x²p1) (x +3)3 4 find 5.

A:

Q: Evaluate: L-¹{- (A) B Ⓒe²t (cosh7t + (D) (s+ 2)²-49 e-2tcosh7t 4 e-2t(cosh7t – sinh 7t) 4 sinh 7t)…

A: The objective is to evaluate L-1s-2(s+2)2-49 Inverse Laplace transform using table values:…

Q: EVALUATE Зд - 2 (c) dr x2-6x+ 8 EVALUATE sin-1x dx V1-x2 (d)

A:

Q: 4. y"-2y'+y =7+75 sin 2x

A: Step:-1 Note:- Here, you don't mention anything about problem like for any particular method to…

Q: Find y = 223 [tan(3r+1)] 2° + ry – y5 = 8x2 = (x + 3)² (x² – 2x) -

A: The Product Rule : The Product Rule says that the derivative of a product of two functions is the…

Q: Q16) L-¹ (5-3)²+25) = a) est sinst 5 b) est sin3t 5 -at sint d) eatsinst

A:

Q: 3. y = xcos(2x) 4. y = tan tan (3x)

A: To find out the derivative of the function.

Q: b) f(x) = sin(3x) sin(7x) d) f(x) 4 gin²(2) gin(2) 10

A: Given- f(x)=sin(3x) sin(7x) To find the Fourier series of the given function.

Q: Evaluate: | (cosh²2r+ sinh²2r) dr (A 2r +C 1 -sinh 2r +C 2 B -sinh 4r +C 4 D r +C E None

A: cosh²(2r)+sinh²(2r)= cosh(4r) ∫cosh(x)dx= sinh(x)+C, C is a constant.

Q: 6. y" – 4y' + 4y = 8+ sin 2t

A:

Q: Evaluate L {e-3(1-2) - 1¹e³¹ − 21²cos(2t) + 3e¯'sin(3t+ π) +-π)}

A:

Q: General Solutions (D2+2D+2)y=5cosx+10 sin2x

A:

Q: 4. Find: b) lime X0 x sinx

A: Find the limit by using L'  Hospital rule

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

A:

Q: 3.2x²+5dx A. In|2x² +51 + C A. B. C. * 4. 4. [ sec²x tanx dx A. tan²x + C 2 A. B. C. B. In|2x² +51…

A:

Q: 3 y = Vlog2(sin5 x)

A: Given equation is y=log2sin5x3

Q: sinh (Inx+Iny) = Select one: x? - y? 2хy 2xy O Zero O None x²y? –1 2xy x²y? +1 2xy

A: Given sinh(lnx+lny)we know that sinh(x)=ex-e-x2substitute in above formulahere x=lnx+lny…

Q: 4) y = 3.x' - 2 /x + 5 9) y = Sinx Cosx 14 ) y:

A: We can evaluate the derivative of any given function using the standard properties of…

Q: Evaluate L{3 (t² – 1) sin (2t) + 7et cosh (4t)}

A:

Q: sinh (Inx - Iny)= Select one: x²+y? 2ху O Zero x² - y² 2хy x² - y? x²+ y2 O None 2x y

A:

Q: 3 y = Vlog2 (sin5 x)

A: The rational function dydx represents the derivative of the function. Differentiation of the…

Q: y+2y+y=sin x-4e™.

A:

Q: 2) y" + 4y + 4y = 3 sin(3r).

A: We need to solve D.E. NOTE - As per Bartleby's guidelines we can solve one question from multiple…

Q: 13) y = -4 Sin ( 2x ) + 4 a. b. 10 d.

A: We have to  graph the function

Q: •2X Solve the DE (D-1)4= 3 sinx+ 22 - 2x 2 (D-1)y=

A:

Q: a) y" +x²y- 2y' = sinx, b) y"+ 4xy' - -y=' + x = 0, x+1 c) x2y' + 3y = 2x*ex.

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: y" + 2y' + y = 7 + 75 sin 2x

A: