Given: x = sin (3x + 4y) Find: dy/dx Ans: sec (3x + 4y) / 4 - 3/4

Q: 7- cos y dx + (x siny - cos²y)dy = 0

A: Note: as per guidelines we support one question in one request . kindly repost next question in next…

Q: Given 2(dy/dx)+3y=sin⁡2x,y(0)=6 and using undetermined coefficient method: What is the complementary…

A: We have to find  the complementary solution, yc using undetermined coefficient method.

Q: Solve d²y dx² - cot x dy-sin² x.y = cos x - cos³ x. 2 dx

A:

Q: x sin wx O Show that dx = x² + 6x + 10 (3 sin 3w + cos 3w) w> 0

A:

Q: 5 dx Find dx, x> V25x? -9 5x In 25x2-9 + C 3. sin-13x+c 1+9x2 +3x|+c 1 V1+9x? + C 3x 3. + C V25x2 -9…

A: The solution is given below in the next step:

Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

Q: cos 2x he ƒ -dx is 4+sin 2x {A} In|4 + sin 2x| + C {B} In|4 + sin 2x| + C {C}(4+sin 2x)² + C {D} -(4…

A:

Q: 3 tan-(x)dx O V3 - In (8) V3 TL In (4) 2/3 2.

A:

Q: x sin wx dx x2 + 6x + 10 Show that (2 sin 3w – 3 cos 3w) w > 0 %3D - 2e2w

A:

Q: Obtain the General Solution : • tan'ydy : sin xdx e • COS "x sinx dx o • (3t sinix) dx = sin 4x dy

A: Solve above differential equations.

Q: find the volume of the solid

A: Find volume of solid.Sketch the given function.

Q: Topic: Variable Separable and Homogenouse D.E. I need particular solution for 4

A: We have to solve

Q: 3r cos(x) 1. Evaluate dx V1+ sin(x)

A:

Q: Only I method. Except Exact DE (x+2y-1)dx+(2x+4y-3)dy oo

A: First we campare the given differential equation Mdx+Ndy= 0 and then solve it.

Q: 4- Find dy/dx for: a- y = sec?x – tan?x b- y = sec³ ( – x) %3D c- y = sin(tan(3x)) d- y = /1+ sin³…

A: NOTE- Since questions 1, 2, 3, 5 and 6 are incomplete, so solving question 4 only. Please submit the…

Q: Using Variation of Parameters 4y''+4=cos-1x

A:

Q: „In sec²(sin2y)dy can be evaluated by writing it as sec2y A sec²(sin2y) - cos2ydy None © In…

A:

Q: RFind dy/dx in terms of x and y if cos²(8y) + sin²(8y) = y+4. |

A: Given query is to find the derivative of the given expression. Pp

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: 3. Integrate the following dx (i) V9 – x² (ii) ſe-3*cos4x dx (iii) ſ sin³2x dx -

A:

Q: x(1- siny)dy = (cosx cosx – cosy -y)dx. 0.

A: The given differential equation is x1-sinydy =cosx-cosy-ydxyπ2=0

Q: 4. f cos? 2x 4. cos? 2x sin 2x dx 2 2 5. f sin¹¹ ²3x cos / x 3x dx

A:

Q: 1. S 2x sin-1 x² dx. 2. S sin² 20 cos³ 20 d0. 3. S sec? x dx V1-tan?x

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

Q: 1. S sin (2x) dx [sin(In x) + cos(In x)]² dr -dx 2. 4 3. S 3x/10 In(3x) – (1In(3x))? xp: 3(cos x)? +…

A: According to bartlybe guidelines I have right to solve only one question at a time..... Please put…

Q: -2.1 1- e* Use Simpson's rule to approximate -dx. x² + 2x – 1 1.2

A: This is a problem of numerical Integration.

Q: 10. Given that 2y- sin 2x =0 and y = 0 when x 0, then y?= %3D %3D dx B. 1-cos 2x C.-2 cos 2x A.…

A:

Q: cos x 3. f sin³x dx (2 + sin?x) + C 3 4. S* x sin 2x dx 1-9x2 5. S sin-1 3x dx + x sin-1 3x + C 3

A: Q - 3

Q: 9- for y = cosx is dx a)sinx b)sin2x c)-sinx

A: As per the bartleby guideline for the multiple question it is allowed to solve first question of…

Q: [(cos 2y) – 3x?y²] dx + [(cos 2y) – 2x(sin 2y) – 2x³y] dy = 0 %3D

A:

Q: 1. S(tan -1) dp 2. sin2 B cos ß dB 3. S: xdx -7-8x-x

A:

Q: d (i) Show that (2 dx -1 X 3x x tan 3 = tan-1* 3 x2+9 V3 i) Hence evaluate (tan dx . 3

A:

Q: 3- dx for y x sinx is equal to: a)2x cosx b) 2x sinx + cosx 2x c)x cosx+ sinx 2x

A:

Q: 7T, 0 cos( {*) cos(2y)dx 2gin( gx) sin (2) dy 77

A:

Q: 1. S x4+a4 dx x3 2. Jydy √a2-y2 3. I cos2tdt (1+sin2t)4 4. I tanßsec2ßdß 5. [(tan) – 1)2d0

A: We have to find  the value of given intregation.

Q: 1 -dx= cosº x/2sinx 5 /tanx+=Vtanº x + C А. Vtanx+/tan5x+C 1 B. tanx +÷Vtan° x +C С. 2 2 tan x +C 1…

A:

Q: Q3: Find lim,- (2 – sin –) إجابتك :Q4 For (3x³ – 5x) V2x+1 find dy/dx at x=0 إجابتك

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

Q: y = cos x, y= sin 2x, x = 0 and x = 2

A: Solution

Q: +3x2, (V)² = sin³(cos³(*3**» dy b. Find dx %3D

A:

Q: -3π/2 2. S TL √sinx + 1 cos x dx

A: We solve the given definite integral by using substitution method .

Q: 4- Find dy/dx for: a- y = sec?x- tan?x b- y = sec - x) c- y = sin(tan(3x))

A:

Q: S2(cosx)(sin2x)dx %3D 3.

A: .................(1) take  put all values in equation 1

Q: 6 (A) /₁ √== B)/ -x/4 D) dx = tan* (x) sec²(x) dx = C) [rea *² x² ex dx = E) 2x cosh(x²) dx = F) /…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first question. If you…

Q: 2 cosh V5t + t5 1 -2t sin 2t

A: Definition of Laplace transform :Let f(t) be a function Laplace transform of the function is…

Q: 5 dx 3 dx, x> Find V25x-9 0 sin 13x+c -13x+C InV1+9x +3x +c 5x 25x2-9 in 3 + C 3 In 5x 25x2-9 + C 3.…

A:

Q: Obtain the GENERAL SOLUTION tan'ydy = sin xdx xdx-Sa²-x² dy =0 y'exyz

A:

Q: Find dy/dx of: x3 - sin y = (1/x3) + tan-1 (ey) - π/4 Don't simplify the final answer.

A: Given:     To determine:

Q: Find dy/dx. y = x' sec (-). A 1 sin 3x cos + x sin2 5x (e) B) x sec 5x sec C) x sec sec D x sin 5x…

A:

Q: tan-1 (xy)=3x2+sin-1(y) find dy/dt

A: