Rewrite the following differential equation using differential operators. 1. y" dºy Зу" + 4у d³y 12e 2x + 4e3x %| 2. + 4 = 2 tan x dx6 dx3

Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: 2 The derivative of y = 3x? 3 + 3x is 2x 3 A. y =** 2 2 3 x° + x´ +3 3 4 4 В. у B. y' = +3 2x2 + 3x…

A: Derivative.

Q: y = V4x² + 5x

A:

Q: Solve for the 2"nd derivative of the function f (x) = 3x5 – 4x3 + 7x² – 10. a. 15x* – 12x2 + 14x b.…

A: Given: fx=3x5-4x3+7x2-10 To Find: 2nd derivative of the given function

Q: 2х + 5 а. Ify- dy then find and simplify dx x2 – 1' 2х + 5 b. Suppose we rewrote y as + C, where C…

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Q: Differentiate the function. 8x-7 y = 4x° +9 Which of the following shows how to find the derivative…

A:

Q: y = x³ + 4x - 15 at x = 0

A: Formulas to be used: 1) Newton's Forward Difference Formula The formula for the forward difference…

Q: e3x-e-3x Y = e 3x+e-3x 4. t2 y= 72-1 5. X = t-1

A:

Q: Find the first derivative

A: Given,            S2N=2-4-SN2To find : Find the first derivative.

Q: Use implicit differentiation in finding y'. 1. x²³+y³ =18xy 2. x²y+xy² = 6

A:

Q: Find all possible functions with the given derivatives. a. y' = 2x b. y' = 2x - 5 c. y'= 3x² - 2x -…

A: a y'=2x           b y'=2x-5           c y'=3x2-2x-5

Q: d²y The second derivative for the function dx? 7y + 14x = 5x² is O y' = 9 7 y' = } %3D y" = } %3D O…

A: Solution :-

Q: 4. y = (3x)(3x*-2x³+x²) ; Find dx3 (Higher Order Derivative) x3

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Q: Find the derivative of the following equations 1. y = Va? + x²

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In each case, find the general solution, using real-valued functions: a. y'"-2y""+y" = 0. b. y" +…

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Q: Find the first derivative. (a) y=x* (b) y =xnx 2.

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