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Question

Prove that is the general solution of differential equation, where c is a parameter.

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Solution

This is a homogeneous equation. To simplify it, we need to make the substitution as:

Substituting the values of y and in equation (1), we get:

Integrating both sides, we get:

Substituting the values of I1 and I2 in equation (3), we get:

Therefore, equation (2) becomes:

Hence, the given result is proved.


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