03: Evaluate the following integrals dx (1) √√₂√x (1+√x)²³ S=

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Q: Q2-Solve the differential equation dy = - y xcos² (-) dx

A: I am attaching image so that you understand each and every step.

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Q: H.W (5) Solve the following differential equations of .0 2xy dx + (x² + 3y²) dy

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Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x² cos y) dy = 0

A: The given differential equation is;  (x+3x3siny) dx+(x4cosy) dy=0. Repost the next questions.

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Q: 6. Find all the "zeros" of the function f(x)=x³ − 5 x² + 4x − 20 if you know x=5 is a root of f.

A: See the details solution in below