24. y"-4V2y' + 8y = 0; y(0) = 1, y'(0) = 0 %3D %3D

Q: d. yy'- y = 6 e*, y(0) = 1 %3D е. %3D %3D

A:

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

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

Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

A:

Q: 2. y' = 4x(2y3 -y)

A: Given differential equation, y'=4x(2y-3-y)..........(i)⇒y'+4xy=8xy-3⇒y3y'+4xy4=8x...........(ii)

Q: y" - 4y' = 0

A: Given: Ordinary equation is  y''-4y'=0

Q: Find the intervals on which the function is continuous. x +5 17) y =2-7x + 10

A:

Q: y = 5t2 - 2t + 4 -'(t) =

A: The given function is y=t25t2-2t+4. We have to find the derivative of the given function. The…

Q: yy' = x(y)² + 4

A:

Q: for

A:

Q: y y' + (2х + 3у) = 0 y(x) = ? =>

A:

Q: 2) y' – (cotx)y = -(2cosx)y2 %3D

A:

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

A: Given the function y=ln(7x+5)         ........(1)

Q: y' = vsinx y +1

A:

Q: xy' = 3y + 8x, y(2) = 8. y= ((8x^8/8)+3)x^3

A:

Q: Calculate y'  if y=1/(x+(x)^1/2))^1/3

A:

Q: Find y' if y= y' = 4 x5 - 6x² +7 2 X

A:

Q: y=x2+4x+3 /  x1/2        y'=?

A:

Q: Find y' for y = 7x-3+ 5x - 1

A:

Q: 6. y"-4y' + 5y 4e"; y(0) 2. y'(0) = 7 %3D

A:

Q: Differentiate. et y = 8x2 y' =

A: Given:- y =ex /(8x2)  To find:- y'

Q: y-5y't 4y =O x10)-5 y'l0)=2

A: We have to find the particular solution of the initial value problem…

Q: 2хуу' — 1 + у? y = 2; x = 1 %3D %3D

A:

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: - 1 Find y' for y=7x7 + 9x¯ y' =

A:

Q: Find y' for y=8x7 + 4x¯¹. 1 y'=0

A:

Q: 10. y'+y = 3x³ + x; y(-1) = 4 су 3 3х3 + х; у(-1) %3D4

A:

Q: - 1 Find y' for y = 7x-4 + 2x-1. y' =

A: We havey=7x−4+2x−1

Q: 2. y' (4x - y₁)² = 0 -

A: This is an ODE problem.

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.