Corresponding the following problem which of the following(s) is/are NOT the correct choice(s) to approximate the solution ? y' = cos(xy=) y(-1) = 4

Q: Solve y (f) + 4y(t) = sin(t) – sin(t – 27)H(t– 27); y(0) = y (0) = 0 %3D

A: To find: Solve the given differential equation.

Q: 4. S sinºx dx

A: This question can be solved by applying the concepts of integration of trigonometric functions.

Q: Find the solution of the equation = e cos y dy? which tends to zero as x → 00 and has the value cos…

A:

Q: h45. Solve for the general solution of y'= sinx + ycotx a. y = (x+ C)sinx b. y = Cxsinx c. y = (x +…

A:

Q: Find y'. 3 +3 O A. O B. Ос. 2 O D.

A: Given:- y=((1/x) +3) (x-(1/x) +3)  To find:- y'

Q: 3-(cos x)y' =yCv-1) sin x.

A:

Q: dx 4. -' (x- 3)*

A: Solution is given below

Q: у 3 sin (x? + 3x + 1) 1. 2. у%3D сos?(2х — 1) y = tan vx2 – 1 3.

A:

Q: 1 – s2 S

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

Q: Find y. Show the step-by-step solution. Simplify your answer. 1. y = in () 2. y = log(tan x') 3. y =…

A: 1. y=ln2x4x2-12. y=logtan x33. y=ln3+cosx3-cosx

Q: • (b) g(x) = 2 cos x+ V3 x on [0,77] 9'(x) < -2 sinx +53 9'=0:-asinY+3=0-53-aSinx = sinx=…

A:

Q: (b) If (20) = 3/5 and 0<o<T/4, find the values of i. sin (20) Cos ii, cos () iii. sin (0)

A:

Q: dS If s= which of the following is equal to dx 1 ++)) -sin In- ° ( + + 5 )sin(in 1 In- X X sin + s -…

A:

Q: 5. Find the general solution of y' = y secx a. y=c(secx + tanx) b. y=c(secx-tanx) c. y=csecx tanx d.…

A:

Q: Solve by variation of parameters method (h) y" + y' = tan x

A:

Q: Q2/ If the following eq. is exact, then solve it (y cos x + 2xe") + (sin x+ x²e° + 2)y' = 0.

A:

Q: If y = sin (4x - 5), then what is y' a. y = 4 cos (4x - 5) b. y 3 сos (4x - 5) C. y' = -cos (4x) d.…

A: In this question  we have to solve the given statements. NOTE: As per our policy we are suppose to…

Q: f(x) 16 %3D = +- - 11x 2

A: 1. Rule of derivative of sum and difference of two functions states that ddxg±hx=dgdxx±dhdxx. Use…

Q: N/7 2. 4 cos x dx 3+2 sin x 9.

A:

Q: In this particular problem, where is the u and du? Why does it suddenly not present in the solution?…

A: the given integral is: ∫esec(x)sin(x)cos2(x)dx let the given integral be I.…

Q: Q1: Find dy/dx for the following functions:- (1) e – 3* = x sinh y (2) tan-12 = (Inx' + y²)

A:

Q: The given Riccati equation is y'- y²-yeatr + sin²x = 0 Also it is given that, the particular…

A: Solving Riccati equation when one particular solution is given. y=y1+1/u

Q: Find f' (x) : f(x) = /16 sin² x + 9 cos?

A:

Q: 1. Let f(x, y) = x cos(x²y). Find the following: әf Эх (a) (b) Vf evaluated at (-1, п/4).

A:

Q: 21. y = csc 2x 22. y = tan 2 Vx* + 1 x tan x 24. y 23. у x? + 1 1 + sin? x

A:

Q: cos(x) sin (x)+4sin(x) 7. Find -dx . A substitution might be helpful

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.