8. y + 4y = 41²-4r + 10; y(0) = 0, y'(0) = 3

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

Q: exp(iz) = 1+ iV3.

A:

Q: (2xy² + 2y) + (2x²y + 2x)y' = 0

A:

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: for

A:

Q: 5. x' = (1²3) × X 5

A:

Q: Solve IVP Y'=AY, A= (-3 3 Y(0) = 13 2

A:

Q: 3t 2x"-2x'-4x = 2e" 5.

A:

Q: 4. 16x – 2x2 – 23 dx -

A:

Q: 9. (yexy - 2y³)dx + (xexy - 6xy2 - 2y)dy = 0

A: The given differential equation is exact, so solve this by the procedure of exact differential…

Q: 4= Find y 13x+(2x3-x'

A: To find the derivatives

Q: Find y'. y=(4x-4)(2x+1) OA. 16x-2 B. 8x-4 OC. 16x-12 OD. 16x-4

A:

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: Differentiate. y = ³√√x³+3x+1.x4

A: Given function y = x3 + 3x + 13.x4

Q: -4 -3 2 -1 -1 4 -2. -3+ y = x2 - 4 A y = x2 - 4x y = x'- 4 y = 23 4x - ©2021 Illuminate Education…

A: our answer is y=x3-4x

Q: 23. (1.4) Solve y +2 = (4x + 2y + 6)-'e2«+v+3.

A:

Q: In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y. 6y²y +…

A: To solve the following equation for y'. 6y2y'+30xy+6x2y'=5y2+25xyy'

Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

A:

Q: 3. Solve -4 -2 X' = 3 X+ -Se -11 -2

A:

Q: Solve 2x'4 2xg+y'=2x +24

A: The solution are next step..

Q: solve 19. (5x' + 4x? – 3x) – (x² + 7x + 2) 20. 3(x – 1) + 4(x + 2)

A:

Q: 12x5y'' + 8xy + 3y = 6x5 - x

A:

Q: Solve:  y’’’ – 4y’’ + y’ + 6y = 0

A:

Q: Let F= (y,x,2) and C be parameterized by r(t) = (sin t, cos t,5), for 0sts2x. Evaluate F.dr by…

A:

Q: 3xydx + (x² + y²)dy = 0.

A: We will find out the required solution.

Q: 2. (81-x')

A: Consider the provided integral,∫x381-x22dx apply the trigonometric substitution,x=9sinθ then…

Q: y' = 2x + 14

A:

Q: 5. Solve y"" - 6y" + 11y' - 6y = 0

A: The given differential equation is

Q: Solve for z. (2-i)z+8z^2=0

A: Given equation is, (2-i)z+8z2=0

Q: 7. Inx dx

A: We need to evaluate definite integral.

Q: Solve y(4) - 25y" = 0

A: