📐 Mathematics · Differential Equations · JEE

An equation of the form dy/dx + Py = Q (P, Q functions of x) is called a ___ differential equation:

Answer: linear.

A linear
B quadratic
C homogeneous
D exact

Correct answer: A. linear

Explanation: This standard form is a first-order linear differential equation.

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

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An equation of the form dy/dx + Py = Q (P, Q functions of x) is called a ___ differential equation:

Concept context

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