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

Q: / Determine the length of y = (8x + 3)2 from (11)/2 s y s (27)/2?

A:

Q: Evaluate y' of the given functions: 1. y = (x² – 2)(x + 3)

A:

Q: Find y' y= (x2+2)(x-3)

A: Given :                  y = x2+2x-3 Find :               y'

Q: If y = (9x + 5)x, find y'(1).

A:

Q: Find the derivative.

A:

Q: IF THE CURVE OF THE FUNCTION F (X) = Y PASSES THROUGH THE TWO POINTS (2,2) AND (1, K) AND SATISFIES…

A: We have to solve given problem:

Q: Find * 1 y" if y =-(x -3x)

A:

Q: Find mZX (3y-71° X Y (2x) O W (x+181° (3y + 1)º

A: Solve for the angle X

Q: Q1- Find the maximum vate of change of Rexy) t -ツ fcxy) = Xe fCxg) = Xe at the point (e,o) %3D

A: Given problem:- Find the maximum rate of Change f(x, y) = xe-y at point (2,0)

Q: y = x³log3x , find y'

A: We need to evaluate the derivative of the following function y = x3log3x

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

A:

Q: The y' for y = (x³ +

A:

Q: Find y'when ye2x = 3y+ x and y(0)=3 (A) -5 B B -6 (© -4 D) -7

A: We need to find y'.

Q: Eliminate the arbitrary constant. y=Ax³+Bx³ (A B 7xy" - x²y + 15y = 0 D x²y '- 7xy" + 15y = 0 Cx²y"…

A: To find- Eliminate the arbitrary constant. y = Ax5 + Bx3

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

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x3 + 8x² – 2x – 3 at x = -7.

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: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

A:

Q: Y = -2X, then p(X, Y) = 1?

A: Solution

Q: Find y'' y= 3x + 5 2x - 1

A:

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.