Show that the function y(x, dy/at = a2y/ar2 = dy/ax = %3D %3!

Q: 4) y = e3r* dy A) 12x dx B) dy 3* . 12x³ = e dx dy 3x e C) dx D) dy „3x* - 1 . 12x = e dx

A: Given below the detailed solution

Q: Find the derivative, dy/dx: y = x² In x3 ý =- 2 1-4 ln x x³ In? x 3. ý = -2 In x – 2x | y = --(- 3…

A:

Q: ay or dx. 2x + y = 7x - 6 to find y a)

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: dy dx a =x-y+l 2 -2 M -33-2-1 1 0 1 2 3

A: We have given a differential equation and slope field:The solution to the given differential…

Q: B)ls w = Ze² analytical function or not?

A:

Q: 1. dy = e3x+2y dx

A: Given dydx = e3x+ 2y

Q: find dy/dx if y=xcosx+x2sinx

A:

Q: (3y? + 2)2 = 1 and y(-1) = 1 What is x when y = 2? %3D dx

A: solve the differential equation by separating the variable and integrate it.

Q: Find f'co) if fco)= (Since\ %3D

A:

Q: find dy/dx y = ecos(x+sqrt(x+lnx))^3

A:

Q: If y=3(−7x^2+7x+1)^13, then      dy/dx=

A: Given:- y= 3(-7x2+7x+1)13 To find :- dy/dx

Q: 4. Evaluate using Beta Function: B (6,5) a. b. {B}}})

A:

Q: B) find dy/dx if y= x(x-2) x²+1

A: Given Equation in 2 variablesTo find out Slope

Q: Find dy/dx at the point (2,1) if 4y3-x2y2=0

A: Given that: 4y3-x2y2=0

Q: x dy (1 + 5x²y*) = 29 dx

A: P

Q: Find dy/dx

A: Step 1: Step 2: Step 3: Step 4:

Q: find dy y = sec-1 (e-x)

A: According to the question, we have to find the derivative of the expression y=sec-1e-x. To…

Q: Find p, q if f," f(x) dx – f" f(x) dx = [i s(x) dx. (Give your answers as whole or exact numbers.) p…

A:

Q: what is dy/dx of x+ylny=y+xlnx+1

A: Given,          x+ylny=y+xlnx+1

Q: If yx^2 + y^2 = x, then the dy/dx is

A: Using derivatives formula.

Q: dy x -3x Find when y= dx I+xA Vx+1

A: Given,           y=x2-3xx+1

Q: find dy/dx of x^5y-xy^5=1

A:

Q: Find the derivative of y = 3x² − 2x + dy = 6x 2 dx dy dx dy dx Oy = = 3x - 1 = 3x - 2 6x - 2

A: Given query is to find the derivative of the function.

Q: Let z = 6exv , find dz %3D

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.