Use the Laplace transform to solve the given integral equation. f(t) = te¹ + ₁ + f(t-T)dT a. f(t)=sin(t)-tsin(t) t²e¹ 3te¹ b. f(t)= + 4 4 c. f(t)=sin(t) + cos(t) d. f(t) = 47 4t 17 e. f(t) = 3t 10 + + e-t 8 00 64sin(√17t) 17√17 27sin(√10t) 10√10 T e¹ 8 D

Q: Solve Ч 3ху= 4'=45х +уз

A: Given differential equation:- 3xy2y'=45x4+y3

Q: Solve                 2   =   X-500/ 85

A: Firstly, we add 500/85 on both sides  and then by adding 2+500/85, we get the required result.

Q: Solve: 1/2x -3/5=2/5

A: We have given,

Q: 15x* – 30Ľ x +7L = 0 ² %3D

A:

Q: Solve : 3x2 - 4x = 4

A: Consider the given quadratic equation: Here the objective is to find the value of x.

Q: solution r^3 = 36r

A: The given equation is a third degree equation. So it has 3 solutions.

Q: X-X-30-0

A: x2 – x – 30 = 0Solve by completing the square.

Q: 3 + 4lnx =15

A: subtract both sides by 3

Q: Write all solutions to x^2 = -100

A: x^2=-100 x=+-sqrt(-100) x=+-10sqrt(-1) we know that i=sqrt(-1) then value of x given by- x=10i and…

Q: Solve: x2+ 3 = 0

A: Square root of negative number gives complex solution. Also, i2 = -1

Q: A cyclist bikes 20 kilometers in 2 hours. What is the cyclists pace in hours per 1 kilometer?

A:

Q: Solve 6x^2+7x=20

A:

Q: Solve: 4*1=162x-4

A:

Q: Solve : 2x2 = 250

A: 2x2=2502x

Q: Solve - 3 / x + 8 / x - 1 = -1

A: Given:--3x+8x-1=-1