1) y'- Sy of(4) t? ostL 2 ミf flel= ylo) =1 2) y"t Uy = ule - 2). sint y(0)=1 y'Co) =O >) F (t) + 2 S flp) cos (E-p) dp =4.e* + sint %3D + Sint 4) y -2y'+ Sy = 1+t y'lo) =4 x'+3x+y'=1 x (0)=0 x' - x +y'-y=et y(0) -0

Q: 2)( L[ (1 – 27)' sin 2r.dr)) =

A: Using the formula

Q: 10) y = xtanx + sin-ly

A: according to guidelines we should able to do only one question at a time #10

Q: (1) Find and classify the extremes value of f(x) = 6x* – 4x° over the interval [-2, 2). (2) A…

A: According to Bartleby Q/A guidelines, we only allow solving the first question if multiple questions…

Q: CORRECT to find y'(x). d d v'(x) = (In 2z) x (sin u) y'(x) de dx ..... .... .... d y'(x) = sin- dr d…

A: We have to choose the correct answer from the given options according to the given information

Q: 3e tanydr + (1– )sec?ydy = 0

A:

Q: 4 Vx. 7 Vx, What is the derivative of y ( In 7 + In 4 ) 28 Vx (A) y' = ( In 11 ) 28 Vx y' 2 X 7 In…

A:

Q: 16. y' + (2/t)y = (cos t)/t, y(n) 3D0, t> 0

A: The given DE is: y'+2ty=costt2

Q: 4. S(9x + 33x +22) dx

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

Q: For x=cos(3t), y=cos(6t), 0<t<n find and simplify dy dy COS and dx

A: Given: x = cos(3t),    y = cos(6t)     0&lt;t&lt;pi     To find:

Q: 9) 2y' = y cot(x) 10) y'+ csc(y) =0 11) y' = (1+x)(l+y³) 12) yy' = 0.5 sin (@x)

A:

Q: 8)find dy/dt for y=cos^2(3#t-1) # is actually pie or 3.14 etc I just don’t have the symbol on my…

A:

Q: 22 3x'y = 2ty- 3). 23 (2y cos x + sin* x) dx sin x dy; when x Ans. y= cty- 3) exp (x n, y = 1. %3D…

A:

Q: 3) = + sin (4) r = y(In y- In r+1)

A:

Q: #23) y'(x) = 4 tan 2x-3 los x Saj (x) dx = S 4 tom 2x - 3 los x dx 3(x) = 4 S sin 2x dx - S3 losx.…

A: Here your answer is,-2lncos2x-3sinx+Cand the answer given in the book is,2lnsec2x-3sinx+C Here both…

Q: 1. Differentiate each of the following with respect to x (find y' =2). Do not simplify your answers…

A:

Q: Find dy/dx for the following : 9) y* = sin-1 x %3D 10) y = xtanx + sin-ly 11) (Vy)* = (In…

A:

Q: 27 Find y' if y =4 sin ditE

A: We have to find

Q: Find dy/dx for y = 3l(sin-(e-3**)12 dy 3(sin"(e-*)* In3 2(sin-"(e-3x*)- dx 1(-6х) V1-e-6x2

A:

Q: (1 + Iny-) (;++i" y) dy = 0; 7. dx + y(2) = 1 Ans: In y+x+xIny-=0

A: The given differential equation is  1+lny-xy dx + xy+x22y2+3yln2y dy =0   ;  y(2) =1 Compare with…

Q: 5) Find y' if x + cosy = Vx + sinx + xy – 1

A: Given

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: O -(-1)'I and let Let In tan (a) for n = 0,1, 2 Int2 1) Show that In + Io+ (-1) for na an- An-1 %3D…

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.