Sol vet he int egral equat ion 1 g(æ) = x + 6 Jo i (2-t) g(t) dt.

Q: dy Find - by implicit differentiation. Jx + y +Vxy =4 dx

A: Given: x + y + xy = 4

Q: cos y = e

A: Need to find differentiation for given function

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 )

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Q: Find dy/dx. y=x0.75

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Q: = (x²ye 3xy²) dy dx

A: dx = x2yey3 - 3xy2 dy

Q: dI +I= e* dt

A:

Q: 1 d?y X = 3 ; y = u3 + 3u dx?

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Q: dy dx Find when x = Vt and yt² +2+³ =

A: To find the derivative with given parametric equations

Q: dy Find OX by implicit differentiation. VX+ y+ Vxy =4

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Q: Solve the first order inhomogeneous equation dy + 2y = 3x2 dx Hint:

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Q: find dy/dx

A: The given function is y=∫0sin-1xdt1-2t2

Q: y=xe powerx ,dy/DX=

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Q: Find each Antideriva (x200 dx S Vx dx 1 dx X4

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Q: dy Solve the derivative for the function x arcsin e', y = v1 – e2t. dx

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Q: y = In(sec x + tan x)

A: Solve the above differentiation.

Q: cln x e L L ² L the we Evaluate yez dz dx dy.

A: Given problem:-

Q: 2. Solve x dx – y² dy = 0. Answer:

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Q: dy 1 dx sec?y

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Q: Eveluet I= dx dy I+x'ダノ Cali calia い

A: The given integral is: I=∫02∫y4-y2 11+x2+y2 dx dy