First Order Linear Differential Equations
Standard form: $\frac{dy}{dx} + P(x)y = Q(x)$
- Integrating Factor (I.F.): $\text{I.F.} = e^{\int P(x) dx}$
- General Solution:
$$y \cdot (\text{I.F.}) = \int Q(x) \cdot (\text{I.F.}) \, dx + C$$
High-yield revision notes, key concepts, formulas, and CBSE board examination questions for Class 12 Mathematics.
Standard form: $\frac{dy}{dx} + P(x)y = Q(x)$
$$y \cdot (\text{I.F.}) = \int Q(x) \cdot (\text{I.F.}) \, dx + C$$
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