The particular solution of (D y%3D0with boundary conditions y(0) =0, y(3) = 1 is_ cos(vA =) cos(3VA) sin(vA z) cosX O None of the choices sin(vA 2) cosAr O y = sin(VA 2) sin(3vA)

Q: 3) Find dy dx a) y = x+In(sec 3x) %3D In(x+)

A: solution:-

Q: tan²xdx = sin³ydy when x = 2, y = 3

A:

Q: (3e* sin(y) + y)dx + (2x + e* cos(y))dy = 0 not exact

A: Que is not clear though. We Shall check exactness for the given differential equation. If you have…

Q: + sin? x sec? xdx, 1.

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: y" + y = sec x tan x

A:

Q: Consider the following IVP: у" + у'%3D -сos x; у(0) %3D а, у'(0) 3b Find the general solution. 1 1…

A:

Q: If y = cos x + sin 2x, find the value of y" - y + 3) O 2 cos x + sin x – 2 cos 2x – sin 2x O 2 cos x…

A: Given that: y=cosx+sin2x

Q: i) tanzy dy sin3xdx

A: As we know that  (i)  tan2y=sec2y-1(ii) ∫sec2ydy=tany+C(iii) sin3x=3sinx-sin3x4(iv)…

Q: 7. Integrate: S sec? (n²x)dx A. 2n tan n² + C В. x sec2 п2 + С C.금tan(T2x) + C D. x sec nx + C 8.…

A:

Q: find dy/dx y = | Vx V 1 5) 1+x 20) y=Cof"| 1-x, 15) y = \tan /2x + 7

A:

Q: y = cie“ sin x + c2e“ cos x y" + 2y' + 2y = 0 O y" - 2y' + 3y = 0 O y" - 2y' + 2y = 0 O y" + 2y' +…

A:

Q: Question 6 Obtain the general solution to (D? + 1)y= secxcscx O y= C,cosx + C,sinx- cosxin|secx +…

A: First we put the auxiliary equation equal to 0 .then we find out the C.F. and then find out the…

Q: V ss Vst Vts Vtt || || 11 11 V sin(2s² - 4t²)

A:

Q: Find the general solution of the nonhomogeneous equation y4) + 2 y "+y=cos( 3 x) + 2 1 a) y =C,…

A: We will find out the required solution.

Q: dv +w + v = 5 In solving differen tial equation system dx v(x) =? dw dv 9v = 10e*, dx dx A) v(x) =…

A:

Q: 4. (sin y - y sin x) dx + (cos x +x cos y- y) dy = 0

A: Note: As per our guidelines we are allowed to solve one question

Q: ly Exercise: Find dx 1. y. 10x+3 Cosx y lox +3 Cosx +子 Cotx 3) 14 Cotx

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: xt' + (t")3 = Và +5 x (3y')² ex² - y² = = (4x²y³ + y)²¹ y" 4 (cos x)² - y"

A: The given  differenrtial equation is xt'+t''3=x+54 Calculate the order of given differential…

Q: ignments: Find a solution for the following equations in two different ways: analytically and…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: y sin 2x + cos 2y = ax Find y' a – y cos 2x y% = sin 2x – sin 2y а - 2у сos 2x y sin 2x – 2 sin 2y…

A:

Q: Find dy/dx if y=- O dy dx Ody dx O dy dx O dy dx = = = 1-t 1+t = sec 2t (1+t) ² (1+1) 2 sin2t cos2t…

A: To find dydx if y=1-t1+t and  x=cos2t.

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.