3- show that the diff. equ. is homogeneous and Salve it (2x+34) dx +(y-x)dy = 0

Q: Find Df, Rf : Y= 3/(2x+1)

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Q: zdz + -dz. Izl=1 Z :Select one True False أخل اختياري

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Q: Find the Integrating factor of: dy + y. sec5x = tan5x dx 1 (sec5x + tan5x) 5 O sec5х — tanп5x + 5 O…

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Q: 1. Find 2(3z + 4)² dz.

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Q: Find dy : Note: subscripts indicate a different variable. a. y = 4x +7x} +2x,x, +4x² +5

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Q: The distance from the point S(1,1,0) to the line 3t, z = 2 - t is -T = 1- 2t, y = %3D |3D اخترأحد…

A: Givne that  The point S(1,1,0) line x=1-2t,y=3t,z=2-t To find distance from the point to the line

Q: dy Differentiate implicitly to find 6 5 3) x y+9x = 6y +4 dy

A: A detailed solution is given below

Q: d.r. , (- 1) 1,

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Q: 2x Eyaluate dx . 1-4x4

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Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

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Q: dz Find if z = 16x5 – 18x³y3 + 9y – 4. %3D ay az %3D ду

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Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (6, -5)

A: We need to solve integral problem.

Q: .(Зx? — у) ӑх — (хаy - 2ydy) %3D 0

A:

Q: Find S x² + vx – 2 dx

A: We need to evaluate the following integral.