Q2 of 118 Page 413

For each of the differential equations given in question, find the general solution:

It is given that

This is equation in the form of (where, p = 3 and Q = )


Now, I.F. =


Thus, the solution of the given differential equation is given by the relation:


y(I.F.) =




⇒ ye3x = ex + C


⇒ y = e-2x + Ce-3x


Therefore, the required general solution of the given differential equation is y = e-2x + Ce-3x


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A homogeneous differential equation of the from can be solved by making the substitution.

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For each of the differential equations given in question, find the general solution:

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For each of the differential equations given in question, find the general solution:

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For each of the differential equations given in question, find the general solution: