3x The y, of y''-6y'+9y = by using variation of parameters is: .A Y,(x) = -In(x). e 3x 3x -e |

Q: If y = (9x + 5)x, find y'(1).

A:

Q: Find the derivative.

A:

Q: Calculate y" for the function y = 5x' – 7x² +16

A:

Q: Find y in terms of x. dy 2=x* (32 - x). curve passes through (2,2) dx The solution is y=|

A:

Q: Determine y′(7) to the nearest tenth when y(x)=50x4 / 2x (Do not include "y′(7)=" in your answer.)

A: We have to find derivative of y at x=7.y is given below:

Q: Find y'

A: given

Q: 17. Determine the derivative of each function. a) y=2(3x-x-1² b) g(x)= /2x + 5

A: We have to find derivative As per guideline we have to solve only three

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: Find p′(t), p′′(t), and p′′′(t) for the function p(t) = t^(100)+ 4e^(t)+ 16. (You can use rules or…

A: The function is p(t)=t100+4et+16

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.