Find a particular solution of the differential equation d y-d x-y x-4 x cosec xx - 0- given that y-0 when x-2

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Standard XII

Mathematics

Ordinary Differential Equations

Find a partic...

Question

Find a particular solution of the differential equation , given that y = 0 when

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Solution

The given differential equation is:

This equation is a linear differential equation of the form

The general solution of the given differential equation is given by,

Now,

Therefore, equation (1) becomes:

Substituting in equation (1), we get:

This is the required particular solution of the given differential equation.

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