11e−4x=21.

Q: 2 t. 1 is

A:

Q: y = V In(5x + 7)

A: In this question, we use the chain rule to find the derivative of the function .

Q: dt = (c) (9+t2)3/2

A: Given:

Q: from e'dv Ve4v -16

A:

Q: -Tx2 -i2Txs e dx = e e TS2 8.

A:

Q: 5. y!! + 2y! +v = 7+75sin2x

A:

Q: Simplify the expression

A: We have to simplify the given expression   Our expression is tt+3+4tt-3-18t2-9   We will simplify…

Q: olve y′′′′+ 3y′′−4y = e^2t

A:

Q: ve for y esec(4y²-6y+14) = 3x + 1

A: We have to solve for y of the given equation

Q: 5x'y 10x y (h) 25x (1) 15xy

A:

Q: dz = z2-25

A:

Q: хах S Vx+3

A: We have to solve given integral.

Q: Evaluate | x2 Q4. dx + 4x + 3

A: 4) To evaluate the integral

Q: Ax) dx Mx) dr 16. 17. 18. -6 -6

A:

Q: - S(2 + 5x) es dx

A:

Q: (e) ze+iz z²+ a² ne

A: Given the complex function is ze+izz2+a2. Determine the nature of the singularity and the residue.

Q: Find dy 2 da Y=4+ CCosu 4

A:

Q: Find dx2 7x y = - - 5x 4

A:

Q: 1.) 4D4 + 20D³ +35D² +25D+6)y=0

A: Given differential equation: 4D4+20D3+35D2+25D+6y=0To find: General solution.

Q: -16y= dx4

A: Since you posted 3 questions here, i can answer only one. Please repost other questions separately.…

Q: 30.t2y″ + 3ty′ − 3y = 0

A:

Q: 1 2e10 - 3 da e5z

A:

Q: y"' + 3y" + 3y' + y = 30 e-*

A:

Q: 4. y = V6 – 7x

A: Definition used -                         Power rule of derivative -…

Q: - y = 3 csc 4x

A:

Q: dy 3 メ 2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 2ェ+ 3z d 平

A: We can find the integration as below

Q: 7. (y" + 4y) = 4e3x

A:

Q: 9.) S(5t + 2t2 - 5t - 50)dt

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3 | (16t³ – 9t² + 7)dt Evaluate:

A: Given problem:-

Q: (z + 4)?

A: (x+4)2=(x+4)(x+4)=x(x+4)+4(x+4)=x.x+x.4+4.x+4.4=x2+4.x+4.x+42=x2+2.4.x+16=x2+8x+16

Q: dy - 4 2.

A:

Q: 19. tdydt+(t+1)y=e2t

A: Given, t dydt+t+1y=e2t Now divide the above equation by t we get, ⇒dydt+1+1ty=e2tt Here, P=1+1t

Q: y'' – 37y" + 316y' – 780y = (e6* + e-5x)2

A:

Q: Min P = 4x+10y Subject to: 2.x+6y2 24 4x+2y 218

A: Let's solve the two inequalities treating them as equations and then see if the solution of the…

Q: y' = L 2y 2х

A:

Q: (D^2 +4D+5)y=-2coshx

A:

Q: y= cx² is IS

A: Given, the family of curves                         y=cx2

Q: 4. y = Ae-3x + Be2x

A: We will solve the given questions by using derivative of the function. Note:- Due to our policy, we…

Q: 3r -

A: ∫12dx3x-2Find the Integral value.

Q: y3= /-

A: Given:     y=- 12x2

Q: -dæl V16-x*

A:

Q: Differentiate: y=C1ex+ C2e-x+3x

A:

Q: (4x + 4, y) 2. 11 1 1 2. 2. 2. 2. 2. 111

A:

Q: dz V25 - z

A: Let   x = 5. sint Differentiate on both side    dx = 5.cost.dt

Q: з dy 5. S 4y-3

A:

Q: Find GE 13x-993 H - E G 3x - 129 3x-185 4.

A: Simplification

Q: 1. (D² + 4D + 5)y = 50x + 13 e3x

A:

Q: de J( - 2)V- 4x + 3

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.