FIRd the general solution to y'" +(1) y"-12 y-0. None y c, e+c, sin(2-)+c 6 Cy Cos(2 0) y-c, oc sin(/3 0+c +gcos(/3-) cos(4-0

Q: y" – 2y' + 2y = e2= (cos r – 3 sin r) (undetermined coefficients) %3D

A:

Q: 6 sin(x) + 2 cos(x) = 0

A: We are given trigonometric equation as

Q: 1. If x'y" + xy' + (x². 4 - -y=0 Y=x sinx , and y= y,v. Which of the following x>0 equations…

A: Solution:    Given:                  x2 y"+ xy' +(x2 14) y =0, x.o                 y1 = x-12…

Q: y" + 4y = 2 sin 3x + 3 cos 2x Find the solution y(x)

A: Given differential equation We have to find the solution of the differential equation.

Q: The solution of (e+2xy?) dx + (2 cos 2y + 2x?y) dy is given by (A) e + x?y? + cos 2y = c (B) e +…

A: To find The solution of the given differential equation.

Q: What is the general solution of the given equation, cos(x + y) + 2x + (cos(x + y) + 4y)y' = 0 OA…

A:

Q: The solution of (e + 2xy?) dx + (2 cos 2y + 2x y) dy is given by (A) e +x'y² + cos 2y = c (B) e"…

A: Given D.E is (ex + 2xy2) dx + (2cos 2y+2x2y) dy = 0     To find the solution of the given D.E .

Q: 2n sin(30) do 4. Jo 5+cos²(0)

A:

Q: Consider the following IVP: y +y = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) =…

A:

Q: 2sin?(®)+ Зсos(ө)-3-0

A: This is a question related to solving polar quadric equation. Here as a root we will get theta…

Q: 2. (sin 0-2r cos 0)dr + r cos 0(2r sin 0 + 1)d0 = 0

A:

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

A:

Q: 1 – s2 S

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

Q: Write down the form of a particular solution to the equation y" + 2y + 2y = 5e¯* sin(t) + 5t³…

A:

Q: |(5e" + 5x4 =. + 9 cos x)dx 5et + x + 9 sin x + c 5ea + x + 9 cos x + c 5e + x³ – 9 sin x + c O et –…

A: Need to find integration

Q: Just C please explain in detail.

A: Given- Consider a3xy''' + a2xy'' + a1xy' = 0 To find- Suppose a3x = k3x3, a2x = k2x2, and a1x = k1x.…

Q: on of y" – 2y' + 2y =

A:

Q: 2. [ * xkbr cos*x- sin 3(sin y- cos y)° dv 10. cos y

A:

Q: The solution to the equation is * y'(x)- 2y'(x)+ y(x)-cos(x) slad Ja sin(x) - y(x) =c,e" +e,xe"…

A:

Q: y""+y" = 3x² + sin x − 2 cos x -

A:

Q: What is the general solution of the given equation, cos(x + y) + 2x + (cos(x + y) + 4y)y' = 0 OA.…

A:

Q: Cos(x) 一+Sin (x) sec (x} I +sin (x) Cos(x)

A:

Q: The solution to the equation is y'(x)-2y'(x)+y(x)-cos(x) slad

A: Let us consider the given differential equation y''+ay'+by=Q(x) To solve the equation  Take the…

Q: The special solution to the equation * (D²-3D+4)y(x)= 4sin(2x) Y,(x) = Excos(2x) у, (х) cos(2x) -…

A:

Q: (1) sin (z + y) com ( z + v) (2) COS

A:

Q: Which of the following are not a pair of fundamental solutions to y 3ex and 4e¯X -ex and ex-1 2eX…

A:

Q: L2 cos (0) + L, cos (a - 0) | y = y1+L2 sin (0) – L, sin (a – 0). Combining the above two equation.…

A: for cosα we have to find way to eliminate θ . For tanθ we can use ratio of x-x1 and y-y1 .

Q: 47. Show that y = sin(tan-x+ C) is the general solution of y' = /1 – y²/(1+x²). Then use the…

A:

Q: Solve the he equation F)-5y'x)+8y(x)-4y(x)-xcos(x) 41 19 41 19 sin(x)+ cos(x) -…

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.