Topic explanation · Public Library

Read the topic explanation, then try Quiz or Practice to check understanding.

Classroom-style explanation with key points, examples, and study tools for each topic.

First-order Linear Form

Mathematics · Class 12

For y'+P(x)y=Q(x), integrating factor is e^(integral P dx).

First-order linear form
rule
worked example
First-order linear form: For y'+P(x)y=Q(x), integrating factor is e^(integral P dx).
CONCEPT AND RULE: For y'+P(x)y=Q(x), integrating factor is e^(integral P dx).
METHOD: For first-order linear form, identify the given information and required result. Select the matching
For y'+P(x)y=Q(x), integrating factor is e^(integral P dx).
Worked pattern: y'+y=e^x has factor e^x and (e^x y)'=e^(2x).

Right triangle — First-order Linear Form — original sketch for this lesson (not copied from a textbook).