A B -3 -2 2 3 The non-zero value of n for which the differential equation (3xy² + n²x²y) dx + (nx³ + 3x²y)dy = 0 become exact differential equation is:

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A: To solve DE.

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Q: QUESTION 3 Evaluate 10 e' dx 4+² In(14 + ²) + C In(14+ ²) + C Sartan 1/²+c +C 2 are tan ₂ +C

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Q: #2

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A: The limit is given by limx→1x3-1x-1 To evaluate: The value of the limit using table.

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Q: tion 8 of 22 Calculate the first, second, and third derivatives of y(x) = x² e²x (Use symbolic…

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A: Let's find given differential equation is exact or not.

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A: Given :#6-7y=x3+4x-15#8-9y=x2cosx

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Q: b) f *+√x+¹ dx (Hint: Use the substitution x - 1 = t².)

A: See this solution in below.

Q: = lim r++m et + ex et - e-x

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: This is a differential equations problem

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A: Quotient Rule of differentiation : ddx(uv) =v.dudx-u.dvdxv2.

Q: (A) B (D Which of the following is an integrating factor for xlnxdy + (y-2 lnx)dy = 0 ? Inx .X…

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Q: Find the domain and range of the relation Provide your answer below: domain: range: {(0, -3), (-7,…

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