CBSE (Science) Class 12CBSE
Account
It's free!

Share

Books Shortlist

# Solution - Verify that the Given Functions (Explicit Or Implicit) is a Solution of the Correspnding Differential Equation Y = Ax : Xy′ = Y (X ≠ 0) - CBSE (Science) Class 12 - Mathematics

ConceptGeneral and Particular Solutions of a Differential Equation

#### Question

verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation

y = Ax   :  xy′ = y (x ≠ 0)

#### Solution

y = Ax

Differentiating both sides with respect to x, we get:

Hence, the given function is the solution of the corresponding differential equation.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Mathematics Textbook for Class 12 Part 2 (with solutions)
Chapter 9: Differential Equations
Q: 5 | Page no. 385

#### Reference Material

Solution for question: Verify that the Given Functions (Explicit Or Implicit) is a Solution of the Correspnding Differential Equation Y = Ax : Xy′ = Y (X ≠ 0) concept: null - General and Particular Solutions of a Differential Equation. For the courses CBSE (Science), CBSE (Commerce), CBSE (Arts)
S