proove this ?        (m−n)p = mp−np.

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A: As per the requirement question 5 and 6 is solved as follows Given; x2y"+xy'+(9x2-4)y=0…

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: we will evaluate this integral by using parameterization since we have given a function in z and…

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A: We have to find Laplace transform of given function using Heaviside Shift Theorem.

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A: First we integrate both sides with respect to x and solve it. Follow 2nd step.

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A: Answer

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A: I have given the definition of equal vectors in general in the proof

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Q: 13 =D It2 find nd the Va

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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Q: cln5 18) Simplify S e 2x-3dx In2

A: To Determine: Simplify the given integral

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Q: Q7 Integrate by completing the square: dx 16x2 + 8x + 2 08 Integrate by porto:

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A: d/dt of e^t=e^t.

Q: 6. Use th A). De B). f' C). f'- D). Li

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: FIND IMPULSE RESPONSE : (6* - 30•2) y(+) - (D+ 4) e ーt (02 + 3D + %3D

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A: We know that : L(tn)=n!sn+1

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A: Let's find.

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