3e° 3ecsch 3x 11) -dx sinh 3x tanh 3x

Q: 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx

A:

Q: (sech°x)/1+ sin? if y = dx dy Find tanh°x

A: Given:-       To find:- dy/dx

Q: ЗсoshЗx dx| 4 + sinh3x 1/3

A: Given: 13∫3cosh3x4+sinh3xdx

Q: Find the intergration of x^3(x^4-sine)^5 dx

A:

Q: 18y sin3 9y2. 10) +3 cos V9y2 + 3 dy + 3 cos

A: See the attachment

Q: 3) y sin-ly² dy

A:

Q: Find dy/dx  if  4 cosx siny = 1

A: We will directly differentiate it.

Q: 29. [sin (9y)sec (9y)dy

A: Use the formula sin2x + cos2x =1.

Q: sin(2t + ) dt = 00 64e 4. O O OG

A: Here in this problem we have to find ∫0∞sin(2t+π2)e2t-3dt

Q: 3) еУsinx dx %— cos²x dy

A: Differential equation

Q: Q#2 (a): Find root of the equation 3x + sinx – e* = 0 by secant method correct to six decimal Places…

A: # we are entitled to solve 1 question at a time ,please resubmit the other question if you wish to…

Q: If y = (4x) sin ( 3z) then %3D dy dx (Be sure to express your answer in terms of x)

A:

Q: 5 sin“(3t) dt

A:

Q: If y = (3x)sin (2æ) then %3D dy dx (Be sure to express your answer in terms of x)

A:

Q: | cos 3y dy 4.

A: I=∫ cos6(3y) dy3y=tdy=t3Integration by parts;∫uv dx=u∫v dx -∫ dudx ∫vdx dxI=13 ∫ cos6t…

Q: (cos 2y - 3x²d²)dx + (cos 2y − 2x sin 2y − 2x³y) dy = 0

A: The differential equation is given as cos 2y - 3x2y2dx+cos 2y - 2xsin 2y-2x3ydy = 0 Compare it with…

Q: (cos 2y-3x²y²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0

A: Given : Differential equation cos 2y - 3x2y2dx + cos 2y - 2x sin 2y - 2x3ydy = 0   To find :…

Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: e2x dx 1. Зе2x+1 2. sinx dx 1 3. cos 2x

A: As per bartleby guidelines we are supported to answer only first three subparts,  kindly repost…

Q: sech? dx 1- sech Vĩ tanh Vi dt Vi 2-

A:

Q: 2. if 2x3 +10 x?siny-y"tanx = 0 ノ the y' so dy write ex pressin in terms of X and y.

A: Applying implicit derivative we have

Q: (3sin y– 5x)dx+2x² cot ydy = 0 3.

A: Given: 3siny-5xdx+2x2cotydy=0

Q: Tutorial 14 If y = (sin-1 x)², show that dy (1 – a²) - dy = 2. dx dx?

A: Given, y=sin-1x2 Differentiate with respect to x y'=2sin-1xddxsin-1x=2sin-1x11-x2y'=dydx=2sin-1x1-x2…

Q: find dy/dx 4x -x 2x 23) y= Sin- +x².Sec 2-x + 2x.Sec) 2 (ans.: (2-2»N(2-x² - x* 4 4

A: To find the dy/dx means y' of the given function

Q: 2.Find , if y = sinh x %3D dx' 1+cosh x

A:

Q: 1. [* sin' y cos' ydy 3

A:

Q: Find sinh + C sech V5 + C sinh () + C X. Cosh 5 O -1 csch--

A: Integral of the given function is -

Q: 10. J(3x3 — 5х + sin3x) dx -

A:

Q: S sin(3x + 2) cos(1 – 4x)dx

A:

Q: I = f, (sinhz + 1)dz. %3D

A:

Q: tan '(z) Find for y = In( - dy dz You do not have to completely simplify!

A: topic - derivatives

Q: 3z cos(z)dz

A:

Q: (3 sin y – 5x)dx + 2x2 cot y dy = 0 -

A: Solution :-

Q: (3 sin y – 5x)dx + 2x² cot ydy = 0

A: Given the differential equation:       (3sin y-5x)dx+2x2cot y dy=0 Solve using substitution method.

Q: 1 3), sinh(x)-cosh(x) dx

A:

Q: 8. [(cos'y- sin'y)dy

A:

Q: If y = (sin-' x)², show that (1 – 2*) dy dr? dy 2. dx

A:

Q: solve using homogenous and exact. (2x-3y)dx+(2y-3x)dy=0

A:

Q: sE de = 6 - +- + arctan( )) +c %3D 1+ Vx

A:

Q: tan (e) 1+z* (d) (22+ cosh 2z)dz () z coshz dz zp-

A:

Q: -3π/2 2. S TL √sinx + 1 cos x dx

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

Q: 2n Sin (3y) dx + 3x Cos(ay) dly =o

A: Given differential equation is 2xsin(3y)dx+3x2cos(3y)dy=0

Q: х2 9 dy + sinx - у %3D0 dx

A:

Q: 6. sin v- -2 cos Va + C %3D 4x2 1. Ja-8 dx = 18 (1-8x)4 (1-8x3)4 8. Se*dx =+ %3D In e

A: As per the instruction, we will be answering only the first three subparts. For (6),    ∫sinxxdxLet…

Q: sin³€ dt to ylomeldon 3.

A:

Q: +3x2. Find dy/dx if: (y)² = sin5(cos³(- -)) 2 %3D

A: Given: (y)2=sin5cos3x7+3x22 ----(1) To find: dydx Let u=x7+3x22 , v=cos3u w=sin5v Now equation (1)…

Q: 3e7" sin(2y) 3e7 sin(2y) dy

A:

Q: 1) S 2 sec y (tany – sec y) dy

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 9. [sin Ssin' cos–dx 3 3

A: (9) To evaluate ∫sin5x3cosx3dx Substitute sinx3=u and cosx3dx=3du. Therefore,…

Q: 2 1) (-2xy) dx + (Siny-x²) dy

A: see my solutions