The general solution of the linear differential equation: dx/dy - (cot x) y=sin (2x) y=2sin?(x) +A sin x y=2sin2(x) +sin + A Option 1 Option 2 y=32sin (x) +A cosec(x) y=21sin (2x) +A sin x Option 3 Option 4

Q: 05 y' + (cot x) y 3 sin x cosx

A: We have to solve the given differential equation.

Q: y'+2*tan(x)*y=tan(x) Find the solution of the equation

A: Linear differential equation

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x=(0, π). is:

A:

Q: tan-1 (xy)=3x2+sin-1(y) find dy/dx  this is the correct question sorry.

A: To find: the derivative of the below equation.

Q: sin(2t +) dt eu-3 %3D 64

A: Let, I =∫0∞sin2t+π2e2t-3dtApply integration by part ,Ist function = cos(2t) , since sin(π/2+x) =…

Q: Solve differential equation dy -(x²+y) x+siny

A: We have given a differential equation , dydx = -x2 + yx + siny This is exact differential equation.…

Q: Poaineter Soe y' ty = cof x

A: we have to find the differential equation by using variation of parameters.

Q: Direction: Find the particular solution of differential equation and use typewritten.…

A: The given differential equation is: x3+xy2-ydx+y3+x2y+xdy=0. We have to find the particular solution…

Q: dx - x = (-²/cost) x³ dt 2t 2

A:

Q: sin(2x) cos(2x) dx 1+ cos(4x)

A: The complex form of integral can be converted to simple integral using integration by substitution…

Q: x* + 4 dx : %3D 3

A:

Q: Find dy/dx if y = (*+*) А. 1 В. 2х + 2 D. 1/x C. 2x + 4 csc(2b) sec(2b) Find da/db if a A. 2sec (2b)…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Solve the differential equation with subs equation : S y(s) = (s+2)² +1 O e?"(cos t – 2 sin t) O e2"…

A:

Q: dx

A:

Q: Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where…

A:

Q: a. Evaluate S dx α x2+βx+13

A: Given- ∫xαx2+βx+13dx To find- The value of the above integral. Identity Used- ∫1a2+x2=1atan-1xa and…

Q: What is the general solution to the differential equation A B C y = arcsin (esin 2) + C y =…

A: The given differential equation is:dydx=cos(x) esin xcos(y)

Q: sin x dy (2y Cosx + sin4 x) ax

A:

Q: Solve xdx - x² (cot 2y + x2y cos 2y)dy = 0

A:

Q: y = cos³V2x – 1

A:

Q: find dy/dx у= sint cos2 хосод cesc

A:

Q: - y = sin² (3*)

A: We have to find derivative of given function.

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.