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+1 vote
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in Differential Equations by (50.4k points)
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Solve the differential equation dy = cosx(2 – y cosec x) dx given that y = 2 when x = π/2.

1 Answer

+1 vote
by (49.0k points)
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Best answer

Given: dy = cosx(2 – y cosec x) dx (π/2, 2) is a solution of the given equation

To find: solution of given differential equation

Re-writing the given equation as

p(x)=cot x

q(x)=2 cos x

Calculating integrating factor

IF = sin x

Therefore, the solution of the differential equation is given by

Therefore, the solution is

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