Q6 of 29 Page 9

Solve the following differential equation:

[CBSE 2011]

Given,



⇒


⇒


⇒


This is a linear differential equation. Comparing with the standard form



A solution of such equation is given by:


y(I.F) = where I.F = integrating factor


We get P(x) = & Q(x) = 3x


Integrating factor I.F is given :


∴ I.F =


We know that:


∴ I.F =


⇒ I.F =


We know that:


∴ I.F = 1/x


∴ The solution is given as:



⇒


⇒


⇒ y = 3x2 + Cx

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For each of the differential equations given in question, find a particular solution satisfying the given condition:

[CBSE 2011]

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[CBSE 2011]

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extan y dx + 1(1 – ex)sec2y dy = 0 [CBSE 2011]

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[CBSE 2011]