To reduce the differential equation d y d x +P(x) y=Q(x) y^ n to the linear form, the…
Mathematics · JEE Main · NTA Exams — Differential Equations
To reduce the differential equation \(\frac{d y}{d x}+P(x) y=Q(x) \cdot y^{n}\) to the linear form, the substitution will be
- \(v=\frac{1}{y^{n-1}}\)
- \(v=\frac{1}{y^{n}}\)
- \(v=y^{n}\)
- \(\mathrm{v}=\mathrm{y}^{n-1}\)
Answer
(A) v= 1 y^ n-1
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