Question 3 Choose an appropriate linear differential operator that annihilates the function 16x 2x¹ O (D OD5 4) O (D-5)6 O (D² + 6)² OD+ D² + D5 Question 4 Choose an appropriate linear differential operator that annihilates the function x + 3x² e OD² (D-6)³ O (D-1)(D− 3)" O D² + (D-6)³ O D(D-6)³ OD+ (D-6)³

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A: I have explained everything within the solution .please go through that.

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A: In this question, we have to check two given functions are linearly dependent or independent.

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A: Using Derivatives.

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A: the given function is: z=x4e3y we have to find the total differential of the given function.

Q: H1. Consider the scalar differential equation d Define the potential V(x) by Use the chain rule to…

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Q: HI2. Using D = as a differential operator, and using the following identity (D - a)(D – B) f(x)ed =…

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Q: Answer The solution of the ODE * 1 1 sinxy dx + sinxy dy = 0 y S- sin xy dx + g (y) S- sin xy dx + g…

A: We will use simple algebra of numbers and basic method find solution of this differential equation

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A: 19.  Let the given be I  I = ∫3x3 - 2x3 + 13xdx Now integrating given integral , we get  ⇒I = ∫3x-13…

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Q: Part - 1. Write the order and the degree of the following differential equations. dy d'y dx dy +a'x…

A: Multipart:    We need to find , order and degree of the differential equation. As we know , Order of…

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