Homogeneous De
A differential equation of the form dy/dx = f(y/x) is called
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To solve a homogeneous DE, we use the substitution
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About This Question
- Subject
- mathematics
- Chapter
- differential equations
- Topic
- homogeneous de
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Homogeneous
- Homogeneity Definition: A function g(x,y) is homogeneous of degree zero if g(λx,λy)=g(x,y).
- Differential Form: When dxdy can be expressed as a function of the single ratio y/x, the equation is Homogeneous.
- Substitution: These are solved by letting y=vx, which transforms the equation into a separable one for v and x.
This easy difficulty mathematics question is from the chapter differential equations, covering the topic of homogeneous de. It appeared in the 2025 exam.
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