L[u(t – 3) (r²4' – 9 4')] = 64e- -3s (s-In 4)3 9. (s-In 4)2 2 81e-4s (s-In 3)3 16 (s-In 3)² 64e-3s ( - (s-In 4)3 6. (s-In 4)2 e 4s (s-3)³ 8 (s-3)² In 3 e-4 (름 + 음) 8

Q: solve for x, (2² + 20x) ((2,² + 20x)/(2r/5 + 20))23 = 2/3 = 1489.64 2x + 20x

A: Let's find.

Q: i '2/3

A: Given: i23 we know that amn=am1n

Q: 8. 2.2 dr

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Solve for a A/20 + 4/15 = 9/15 Leave as improper fraction

A:

Q: 4 (0) = 4l6)=3 Soluhon DE: Y= 64,-442

A:

Q: (2x) (3y+8) (2x+4) R 5. mZQ = mZO =

A:

Q: solve for z 15=9+3/(4+z)

A:

Q: Find B so that B^2 = A where A = 1 -1 0 -1 2 -1 0 -1 1

A:

Q: Solve (5.(x) ox 7 1 xx+

A:

Q: 2p2 – 7p = 14   p = (7 +  \/273)/4                             b.      p = (-2 +  \/14)/7   p =…

A: We have to simplify the expression 2p2-7p=14.

Q: = 31 P.T-C₂+ 2C₁ +4₂ + 8 C₂ + ... + 2^Cp h

A:

Q: 0000 2x/48x5y+ x³ /27xy- x²/75x³y (3v6-2)°

A: x1000y29z=x5002y28yz=x5002y142yz=x500y14yz2)2x48x5y+x327xy-x275x3y=2x2*2*2*2*3*x22xy+x33*3*3*xy-x25*…

Q: Simplify. (30y+ 13) - (-6y² - 15y + 13) O6y?+45y-26

A:

Q: Determine the area under the standard normal curve that lies to the right of (a) Z= -1.94, (b)…

A: The objective is to find the area under the standard normal curve that lies to the right of the…

Q: a 36/ 25

A: Here we have,  N·N·Ncba=N2536

Q: 2. -8p(p -3 - 10p) 5. (6a - 3b)(-2a) 3. m'(m + 2n - 6) 6. -3x(2x - 3)

A: We multiply each follow 2nd step.

Q: 11. X' -2 1 (-²¹) × X -5 4,

A:

Q: 1/3y+4=1/5y

A:

Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

A:

Q: 64. (r - 3s + t)(r - s + t)

A:

Q: 2. Given that f is a differentiable function with f'(3) = -5, find g'(1) where g(x) = f(4x-x²)

A: The given function is,

Q: Solve for y. (4y + 7)* 13x + 15 19x - 15 (10y-37)'

A: 1) Opposite angles of a parallelogram are equal 2) Sum of all the interior angles is 360 degrees. In…

Q: (8t/t-4)+(3/4-t)

A: Given:

Q: c) rx+qx-d3 ge (e) zx 5g(2x-c)

A: Use basic algebra

Q: 6. L~1{6(s+1)} a. 3t² +t³ b.3t³ + t² c. 6t² + t³ d. 6t³ + t²

A:

Q: h (1) compul- kor(0) for

A:

Q: S18x² |18x? V6x³ +5 dx O a. 5 (6x? + 5)$ + c b. 4 O(6x³ +5)*/5 + c O. 5 (6x? + 5)/4 + c x²+5)¾4 O d.…

A: We have to find

Q: 5. (D* + 18D2 +81)y = 0

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.