Solve the following differential equation sinה 1x6 y'+y= y(1)= 4, Select one: O a. y(x)=. (6cos Tx+2) O b. y(x)= (-6cos TX-2) %3D Oc. y(x)=- ot 6cos TX+2) O d. y(x)= (6cos X-2) O e. y(x)= 6 TCOS TEX-2)

Q: dy/dp= − (4/5) (y/p+9) Solve this differential equation if y = 8  when p = $23.

A:

Q: 83. Solve the differential equation x+y=(-x² cos x)y². = x(sin²x+C) A. y 1 C. --=x² y

A: Given

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: (G-) Simplify tan to a single trig function using the sum or difference of angles identity.

A:

Q: C1. (a) Solve the nonlinear differential equation x'y-x = v" cos x dx %3D

A: That's easy. Have a great day!!!

Q: 3. (D² + 4)y = 10 cos 3x. ANS. Y = -2 cos 3

A: We have to find solutions

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: Determine the solution of the differential equation dy cos? x sinx dx + (cos³ x)y = 1 a. y = tanx +…

A:

Q: solve the following differential equation y' + (8/x) y = x6 y4

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.