dy – 2ty = –31²e? dt - and the condition v(

Q: d. (c) dx et 1+t?dt

A: Topic- application of derivatives and integration

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Q: Find dy if y=33 dx 09x² 3x² 3 3x² 9 음

A: Solution-

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Q: The independent variable of the (dy/dx-5 y=0) is О У X O x and y O dy O None of the above

A: For any differential equation, the terms: dydx, dxdy, dydt, dpdq etc. are called the differential…

Q: if y = (3x? + 4x – 7*)e, then dy/dx is:

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Q: dy Find for y = 9+ 10t2 dt. dw

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Q: |t=1 to t-t²) e dt

A: By parts formula

Q: d Evaluate In(et – t²)dt. Briefly explain your answer. dx '1

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Q: [-+] 5t dy 3.1는-51%3D-y dt

A: This is a linear 1st order differential equation.

Q: integrate the following ∫(y-2 + 1/2y - 1)dy

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Q: d²x dt.² +2 d'y (1² - y = = cos 21. 2 da 9=0

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Q: What is the opposite reciprocal of each number below? • Press each hotspot. • Label each hotspot…

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Q: -6, find dy dx Given that y = ln

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Q: Show that whether if the co-vector w can be written as dø differential? w = y. (x +). dx + x. (+).dy…

A: Given:  w=y·x+y2· dx+x·x2+y·dy....(1)

Q: 1) Show that for all positive integers x, x! + 1 has a prime divisor greater than x.

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: If x + 2xy-y² = 2, MİN 0⁰ O at the point (1, 1), is: dx nonexistent

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Q: 1 dx 7х — 2 1 In(7a — 2) + с 7 -

A: