In the given linear DE y' = cscx – ycotx, what is Ø? Select the correct response: – In cscx sinx -cscx In sinx

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A: The solution for the above question is as shown below.

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A: A detailed solution is given below.

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A: 5 sinx +6 cosy = 6  Differentiating w.r.t x,  5 cosx +6 (-siny) dy/dx = 0  dy/dx = 5cosx/(6siny)

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A: Use substitution to solve

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A: To find the residue of sinz2sinz2 at z=0 and z=π Let  fz=sinz2sinz2=sinz2csc2z…

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A: Consider ∫cos5x dx =∫cos4x cos x dx =∫(cos2x)2 cos x dx=∫(1-sin2x)2cos x dx…

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A: ∫ sec2x tan2xdx=let u=2x     dudx=ddx2x    dudx=2dx=12du ∫ sec2xtan2xdx=∫ secutanu 12du∫…

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A: To evaluate the given double integral.

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A: ∫0π1+cos9t2 sin9t dt Consider, ∫1+cos9t2 sin9t dt Put, 1+cos9t=u⇒0-9sin9t=dudt⇒-9sin9t dt=du⇒sin9t…

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Q: d?s sin 3t + cos 3t dt2

A: Explanation of the answer is as follows

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A: The solution is

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A: