Ex 9.4, 16 (MCQ) - Chapter 9 Class 12 Differential Equations
Last updated at August 19, 2026 by Teachoo
Solving homogeneous differential equation
Ex 9.4, 17 (MCQ)
Important
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Chapter 9 Class 12 Differential Equations
Concept wise
- Order and Degree
- Gen and Particular Solution
- Formation of Differntial equation when general solution given
- Variable separation - Equation given
- Variable separation - Statement given
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Solving homogeneous differential equation
- Solving Linear differential equations - Equation given
- Solving Linear differential equations - Statement given
Transcript
Ex 9.4, 16 A homogeneous differential equation of the from ππ₯/ππ¦=β(π₯/π¦) can be solved by substitution. (A) π¦=π£π₯ (B) π£=π¦π₯ (C) π₯=π£π¦ (D) π₯=π£ Given ππ₯/ππ¦ = h(π₯/π¦) Here, h(π₯/π¦) is a function of π₯/π¦ So, we will make the substitution x = vy So, the correct answer is (c) Note: An example of function h(π₯/π¦) can be h(π₯/π¦) = (π^(π₯/π¦)β1)/(π₯/π¦) So, we solve it by substituting x = vy
