📐 Mathematics · Differential Equations · JEE

The integrating factor of dy/dx + 2y = e^x is:

Answer: e^2x.

A e^x
B e^2x
C e^−2x
D 2x

Correct answer: B. e^2x

Explanation: IF = e^{∫2 dx} = e^2x.

The general solution y=Ax² represents an entire FAMILY of curves, one for each value of the arbitrary constant A; a particular solution (fixed by an initial condition) selects exactly one curve from this family.

Concept context

Equations involving derivatives and their solutions

Read the full Differential Equations notes →

The integrating factor of dy/dx + 2y = ex is:

Concept context

More Differential Equations questions

The integrating factor of dy/dx + 2y = e^x is: