16. y' = (1 − y) cos x, y (π) = 2

Q: 7. (y + y cos x - ye*) dx + (3x + 3 sin x – 3e*) dy = 0; y (0) = – 1

A:

Q: Find y' if y= cos (X-1) X-1

A:

Q: 9. Find f' (x) for the function f (x) = sin? (cos(4x)) 10. Find f'(x) for the following functions:…

A: Given:          f(x) =sin2cos4x first derivative        ddxfx =f'x      f'x=ddxsin2cos4x    Applying…

Q: 9.(x−2)y′′+y′+(x−2)(tanx)y=0,y(3)=1,y′(3)=2

A: Given: (x−2)y′′+y′+(x−2)(tan x)y=0,y(3)=1,y′(3)=2 To Find: The longest interval in which the given…

Q: cos'r sin x + dy + (cos'x)y = 1

A: Divide by cos2xsinx on both sides of the given first order linear differential equation, then…

Q: 3. (D'+ 9) у -D0 %3| Ans. y=c, sin 3x+c, cos3x

A: See below the answer and explanation

Q: 3. y' + (tan t)y = sin t, y(t) = 0

A: Sol

Q: Solve: Tanxdy+ y°Sin²xdx=0, y(0)=1 а. у"(3-Сos2x)-2 b. у(-2х + Сos2х) -1 d. y(-1+ Cos2x) — х с. у?…

A: This question is related to differential equations, We will solve it using given information.

Q: y" (t) - y(t) = 4 cos(t) ;y(0) +0 , y'(0)=1.

A: The objective of the question is to solve the given second order differential equation with the…

Q: 4. Calculate zu for z = 2x-y x+3y x = e2u cos(3v), y = e2usin(3v) "

A:

Q: 1 – s2 S

A: we have to differentiate y  y=cos-1s+s1-s2

Q: x cos'(y)dx + tan y dy = 0, y(4) = 7 2. X COS

A:

Q: Find: O d: x-6,X-1 dy 3 23=Sin (cos 8x)

A: 1 .y=45x3-6x2+x2-12. y=sin(cos(8x))

Q: b) y"+ 4 y = cos (t), y(0) = y'(0) = 0

A:

Q: 3. y" y'-y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: First find the commentary function then particular integral and then use the initial conditions as…

Q: y" - √xy = sinx ; (TT) = 0. y' (π) = 11. V" (π) = 3

A:

Q: (e) Find y' and y" for y = sin (x+y). %3D (f) Find y' for sin x+ sin y = 1. %3D (g) Find y' for x…

A:

Q: 8. Differentiate with respect to x: (a) y = sin(x³), (b) y = sin³ x and (c) y = (7- cos(5x)) 2023

A:

Q: 6. y cos5 (sin(2x)), y'=?

A:

Q: For cos2(xy) =, evaluate y' when x = 4

A: Given that: cos2(xy)=14

Q: (D² + D)y = 81r² +14 cos(4x) where y(0) = 0 and y'(0) = 3 %3D

A:

Q: Find f. f"(x) = 5e* – 8 sin(x), f(0) = 3, = 0 %3D %3D f(x) = IN

A: Answer and explanation is given below

Q: 4) Find when y? - x2 + cos(x + y) = 0 %3D dx

A:

Q: 1. Calculate an expression for = y if V+b°y = tan-(x"y)

A:

Q: (i). y' = 1 + 3y tanx Ans. 3y cos³x = c + 3sinx - sin³x

A: this is a linear differential equation. solve it using integrating factors.

Q: 4. y=sin(3x) • cos(2x), y'=?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: (y? cos x – 3x?y – 2x) dx + (2y sin x- x'+ In y) dy = o

A:

Q: 5. Find (b) y = cos (11x + 5x).

A:

Q: 10. If cos(x + y) = 2x- 2y, find y'.

A:

Q: If y(v) = 10 COS 79 72 dr then

A:

Q: 39. cos (7 + x)

A: As per the company policy i can answer only first question for you, more than one answer leads me…

Q: (d) If x y/1-y², find

A: Solving question1 for other question repost.